Question

1. what value of b makes the equation 2 + 8b = 11 + 4b true?

Explanation:

Step1: Isolate terms with $b$

Subtract $4b$ from both sides:
$2 + 8b - 4b = 11 + 4b - 4b$
Simplify to get: $2 + 4b = 11$

Step2: Isolate the $4b$ term

Subtract 2 from both sides:
$2 + 4b - 2 = 11 - 2$
Simplify to get: $4b = 9$

Step3: Solve for $b$

Divide both sides by 4:
$\frac{4b}{4} = \frac{9}{4}$
Simplify to get: $b = \frac{9}{4}$

Answer:

$b = \frac{9}{4}$ or $b=2.25$