Question

complete the process of solving the equation.
fill in the missing term on each line. simplify any fractions.
-3(d - 7) = -18
d - 7 = \boxed{} divide both sides by -3
d = \boxed{} add 7 to both sides

Explanation:

Step1: Divide both sides by -3

To solve for \( d - 7 \), we divide both sides of the equation \(-3(d - 7) = -18\) by \(-3\). Using the division property of equality, we have \(\frac{-3(d - 7)}{-3} = \frac{-18}{-3}\). Simplifying both sides, we get \(d - 7 = 6\).

Step2: Add 7 to both sides

Now, to solve for \( d \), we add 7 to both sides of the equation \(d - 7 = 6\). Using the addition property of equality, we have \(d - 7 + 7 = 6 + 7\). Simplifying both sides, we get \(d = 13\).

Answer:

For the first missing term (after dividing by -3): \( 6 \)
For the second missing term (after adding 7): \( 13 \)