Variables and Algebraic Expressions: Decimal numbers

To solve the problem, we will simplify the expression $39.3 : 4a + 5a + 8.2 + 13z$. Let's break down the steps:

• Step 1: Simplify the division $39.3 : 4a$.
  To solve $39.3 : 4a$, we treat this as $\frac{39.3}{4a}$.
  Calculating the division: $\frac{39.3}{4} = 9.825$. Therefore, $\frac{39.3}{4a} = \frac{9.825}{a}$.
• Step 2: Rearrange the terms.
  We now have $\frac{9.825}{a} + 5a + 8.2 + 13z$. No like terms for direct combination exist as these are distinct variables and constants.
• Step 3: Write the expression.
  The terms should be written in a neat, arranged form as $13z + 8.2 + \frac{9.825}{a} + 5a$.

Therefore, the simplified expression is $\ 13z + 8.2 + \frac{9.825}{a} + 5a$.

To solve this problem, we need to simplify the given expression:

1. Identify and group similar terms:

• Constant term: $7.8$
• Terms with $a$: $3.5a + 3.9a$
• Terms with $b$: $-80b - 7.8b$

2. Simplify each group:

• Combine terms with $a$:
  $3.5a + 3.9a = (3.5 + 3.9)a = 7.4a$
• Combine terms with $b$:
  $-80b - 7.8b = (-80 - 7.8)b = -87.8b$

3. The constant term remains $7.8$.

4. Therefore, the simplified expression is:
$7.8 + 7.4a - 87.8b$

Thus, the correct answer is $\boxed{7.8 + 7.4a - 87.8b}$

To solve this problem, we'll follow these steps:

• Identify the terms involving the same variables.
• Combine like terms, particularly those involving $a$.
• Simplify the expression based on the calculations.

Now, let's work through each step:
Step 1: The given expression is $3.4 - 3.4a + 2.6b - 7.5a$.
Step 2: Identify the like terms:
- The terms with $a$ are $-3.4a$ and $-7.5a$.
Step 3: Combine these like terms:
- Calculate $-3.4a - 7.5a = (-3.4 - 7.5)a = -10.9a$.
Step 4: Substitute back into the expression:
- The simplified expression is $3.4 - 10.9a + 2.6b$.

Therefore, the solution to the problem is $3.4 - 10.9a + 2.6b$.

To solve this problem, follow these steps:

• Step 1: Identify Like Terms

The expression is $5.6x + 7.9y + 53xy + 12.1x$. Here, $5.6x$ and $12.1x$ are like terms.

• Step 2: Combine Like Terms

Add the coefficients of $x$: $5.6x + 12.1x = (5.6 + 12.1)x = 17.7x$.

• Step 3: Write the Simplified Expression

After combining the like terms, we get:

$17.7x + 7.9y + 53xy$

This is the simplified form of the expression.

Therefore, the solution to the problem is $17.7x + 53xy + 7.9y$.

It is important to remember that when we have numbers and variables, it is impossible to add or subtract them from each other.

We group the elements:

$7.3×4a + 2.3 + 8a =$

$29.2a + 2.3 + 8a =$

$37.2a + 2.3$

And in this exercise, this is the solution!

You can continue looking for the value of a.

But in this case, there is no need.