Solve the Equation: 1/4a + 5 = 20 + a

To solve the equation $\frac{1}{4}a + 5 = 20 + a$, follow these steps:

• Step 1: Eliminate the $a$ variable term on the right side:
  Subtract $a$ from both sides:
  $\frac{1}{4}a + 5 - a = 20 + a - a$
  This simplifies to:
  $\frac{1}{4}a - a + 5 = 20$.
• Step 2: Combine like terms involving $a$:
  The equation becomes: $\frac{1}{4}a - \frac{4}{4}a + 5 = 20$
  Combine them to get:
  $-\frac{3}{4}a + 5 = 20$.
• Step 3: Isolate the $a$ term:
  Subtract 5 from both sides:
  $-\frac{3}{4}a + 5 - 5 = 20 - 5$
  This simplifies to:
  $-\frac{3}{4}a = 15$.
• Step 4: Solve for $a$:
  To isolate $a$, divide both sides by $-\frac{3}{4}$:
  $a = \frac{15}{-\frac{3}{4}} = 15 \times -\frac{4}{3} = -20$.
  Therefore, $a = -20$.

Therefore, the solution to the equation is $a = -20$.