Question

solve the equation for w.
-9 = \frac{w + 1}{6}

Explanation:

Step1: Multiply both sides by 6

To eliminate the denominator, multiply each side of the equation \(-9 = \frac{w + 1}{6}\) by 6. This gives \(6\times(-9)=6\times\frac{w + 1}{6}\). Simplifying both sides, we get \(-54=w + 1\).

Step2: Subtract 1 from both sides

To solve for \(w\), subtract 1 from both sides of the equation \(-54=w + 1\). So, \(-54-1=w+1 - 1\), which simplifies to \(w=-55\).

Answer:

\(w = -55\)