Question - Solving a Linear Equation with a Variable

Given equation: \(-3(-8 - 7b) = -27 + 4b\)

Distribute the \(-3\) inside the parentheses: \(24 + 21b = -27 + 4b\)

Subtract \(4b\) from both sides: \(24 + 21b - 4b = -27 + 4b - 4b\)

Simplify: \(24 + 17b = -27\)

Subtract \(24\) from both sides: \(17b = -27 - 24\)

Simplify: \(17b = -51\)

Divide both sides by \(17\): \(b = \frac{-51}{17}\)

Solution: \(b = -3\)