Question

solve the equation below. whats the value of h? next, you can use the distributive property to get rid of the parentheses on the left side of the equation. distribute the 3 on the left to rewrite the equation without parentheses. \\(\frac{3}{2}(5 + 2h) = 2 + 2h\\) \\(2 cdot \frac{3}{2}(5 + 2h) = 2 cdot (2 + 2h)\\) \\(3(5 + 2h) = 4 + 4h\\) \\(square = 4 + 4h\\)

Explanation:

Step1: Distribute 3 to terms inside parentheses

$3(5 + 2h) = 3\times5 + 3\times2h = 15 + 6h$

Step2: Rewrite equation with expanded left side

$15 + 6h = 4 + 4h$

Step3: Isolate h terms on left side

Subtract $4h$ from both sides:
$15 + 6h - 4h = 4 + 4h - 4h$
$15 + 2h = 4$

Step4: Isolate constant terms on right side

Subtract 15 from both sides:
$15 + 2h - 15 = 4 - 15$
$2h = -11$

Step5: Solve for h

Divide both sides by 2:
$h = \frac{-11}{2} = -5.5$

First, filling the box:

Step0: Expand left side per instruction

$3(5+2h) = 15 + 6h$

Answer:

First, the expression for the box: $15 + 6h$
Final value of $h$: $\boldsymbol{-5.5}$ (or $\boldsymbol{-\frac{11}{2}}$)