Simplify the Expression: 3z + 19z - 4z | Step-by-Step Solution

Question

3z+19z4z=? 3z+19z-4z=\text{?}

Video Solution

Solution Steps

00:00 Simplify the expression
00:03 Gather terms
00:06 Calculate one operation at a time
00:19 And this is the solution to the question

Step-by-Step Solution

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

  • Step 1: Combine like terms by identifying and adding their coefficients.
  • Step 2: Simplify the expression.
  • Step 3: Verify the resulting expression with the provided choices.

Let's work through each step:

Step 1: Identify the coefficients in the expression 3z+19z4z 3z + 19z - 4z . The coefficients are 3 3 , 19 19 , and 4 -4 .

Step 2: Add and subtract these coefficients: 3+194 3 + 19 - 4 .

Step 3: Calculate: 3+19=22 3 + 19 = 22 and then 224=18 22 - 4 = 18 .

Therefore, the simplified expression is 18z 18z .

The solution to the problem is 18z 18z .

Answer

18z 18z