Question

solve the equation below. whats the value of h? now, use the distributive property to multiply the right side of the equation by 2. \\(\frac{3}{2}(5 + 2h) = 2 + 2h\\) \\(2 \cdot \frac{3}{2}(5 + 2h) = 2 \cdot (2 + 2h)\\) \\(3(5 + 2h) = \square\\)

Explanation:

Step1: Apply distributive property to right side

$2 \cdot (2 + 2h) = 2\cdot2 + 2\cdot2h$

Step2: Calculate each term

$2\cdot2 = 4$, $2\cdot2h = 4h$

Step3: Combine terms for simplified right side

$4 + 4h$

Step4: Expand left side of equation

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

Step5: Set equal and solve for h

$15 + 6h = 4 + 4h$
$6h - 4h = 4 - 15$
$2h = -11$
$h = \frac{-11}{2} = -5.5$

Answer:

First, the simplified right side after multiplication is $\boldsymbol{4 + 4h}$.
The value of $h$ is $\boldsymbol{-\frac{11}{2}}$ (or $\boldsymbol{-5.5}$)