Question

solve.
-6m = -36
m = \square

Explanation:

Step1: Divide both sides by -6

To solve for \( m \) in the equation \( -6m = -36 \), we divide both sides of the equation by \(-6\). This is based on the division property of equality, which states that if we divide both sides of an equation by the same non - zero number, the equation remains true.

So we have \(\frac{-6m}{-6}=\frac{-36}{-6}\)

Step2: Simplify both sides

Simplifying the left - hand side, \(\frac{-6m}{-6}\) simplifies to \(m\) because the \(-6\) in the numerator and the \(-6\) in the denominator cancel out.

Simplifying the right - hand side, \(\frac{-36}{-6} = 6\) since a negative divided by a negative gives a positive, and \(36\div6 = 6\)

Answer:

\(m = 6\)