Chapter 0.5, Problem 36E

To determine

Solve the equation $-3\left(d-7\right)=6$ and explain each step

Answer to Problem 36E

  $d=5$

Explanation of Solution

Given information:

  $-3\left(d-7\right)=6$

Formula used:

Simplification of equation

Calculation:

  $-3\left(d-7\right)=6$

Multiply by -3 in bracket

  $-3d+21=6$

To isolate the variable d, subtracting 21 from both sides-

  $-3d+21-21=6-21$

This gives-

  $-3d=-15$

To isolate the variable d, dividing by -3 both sides-

  $\frac{-3}{-3}d=\frac{-15}{-3}$

Hence, the final answer is-

  $d=5$