Question

solve for w.
-10w = -30
simplify your answer as much as possible.
w =

Explanation:

Step1: Divide both sides by -10

To solve for \( w \) in the equation \( -10w = -30 \), we divide both sides of the equation by \( -10 \). This is based on the division property of equality, which states that if \( a = b \), then \( \frac{a}{c} = \frac{b}{c} \) (where \( c
eq 0 \)). So we have:
\( \frac{-10w}{-10}=\frac{-30}{-10} \)

Step2: Simplify both sides

Simplifying the left side, \( \frac{-10w}{-10} = w \) (since the \( -10 \) in the numerator and denominator cancels out). Simplifying the right side, \( \frac{-30}{-10}=3 \) (because a negative divided by a negative is a positive, and \( 30\div10 = 3 \)).

Answer:

\( w = 3 \)