Solving a One-Variable Linear Equation
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Answer:
[tex]\Longrightarrow:\boxed{\sf{h=14}}[/tex]
Step-by-step explanation:
Isolate the term of h from one side of the equation.
Use the distributive property.
Distributive property:
→ A(B+C)=AB+AC
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
[tex]\Longrightarrow: \boxed{\sf{h=14}}[/tex]
I hope this helps! Let me know if you have any questions.