Question

Solving a One-Variable Linear Equation

Answer 1

`\Longrightarrow:\boxed{\sf{h=14}}`

Explanation:

Isolate the term of h from one side of the equation.

Use the distributive property.

Distributive property:

→ A(B+C)=AB+AC

7h-5(3h-8)=-72

First, multiply expand.

⇒ -5(3h-8)

⇒ -5*3h=-15h

⇒ -5*8=40

Rewrite the problem.

→ -15h+40

⇒ 7h-15h+40=-72

⇒ 7h-15h=-8h

→ -8h+40=-72

Subtract by 40 from both sides.

⇒ -8h+40-40=-72-40

Solve.

⇒ -72-40=-112

⇒ -8h=-112

Then, you divide by -8 from both sides.

⇒ -8h/-8=-112/-8

Solve.

Divide the numbers from left to right.

→ -112/-8=14

`\Longrightarrow: \boxed{\sf{h=14}}`

• Therefore, the correct answer is h=14.

I hope this helps! Let me know if you have any questions.