solve for d.\ngive an exact answer.\n0.5(7d + 4) = 7 - 1.5d\nd =

Explanation:

Step1: Expand the left - hand side

$$ \begin{align*} 0.5\times7d+0.5\times4&=7 - 1.5d\ 3.5d + 2&=7-1.5d \end{align*} $$

Step2: Add (1.5d) to both sides

$$ \begin{align*} 3.5d+1.5d + 2&=7-1.5d+1.5d\ 5d+2&=7 \end{align*} $$

Step3: Subtract 2 from both sides

$$ \begin{align*} 5d+2 - 2&=7 - 2\ 5d&=5 \end{align*} $$

Step4: Divide both sides by 5

$$ \begin{align*} \frac{5d}{5}&=\frac{5}{5}\ d&=1 \end{align*} $$

Answer:

(d = 1)