Example Question - solve for

Solving a Linear Equation with a Variable

<p>Given equation: \(-3(-8 - 7b) = -27 + 4b\)</p> <p>Distribute the \(-3\) inside the parentheses: \(24 + 21b = -27 + 4b\)</p> <p>Subtract \(4b\) from both sides: \(24 + 21b - 4b = -27 + 4b - 4b\)</p> <p>Simplify: \(24 + 17b = -27\)</p> <p>Subtract \(24\) from both sides: \(17b = -27 - 24\)</p> <p>Simplify: \(17b = -51\)</p> <p>Divide both sides by \(17\): \(b = \frac{-51}{17}\)</p> <p>Solution: \(b = -3\)</p>