solving a one-variable linear equation

solve the equation.

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

1. for parentheses:
distribute

2. if necessary:
combine terms

3. apply properties:
add
subtract
multiply
divide

4. to start over:
reset

Question

solving a one-variable linear equation

solve the equation.

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

1. for parentheses:
distribute

2. if necessary:
combine terms

3. apply properties:
add
subtract
multiply
divide

4. to start over:
reset

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Linear Equations", "Distributive Property", "Combining Like Terms" ], "current_concepts": [ "Linear Equations", "Distributive Property", "Combining Like Terms" ] } ## Distribute the constant through the parentheses $$ \begin{aligned} &7h - 5(3h - 8) = -72 \ &7h - 15h + 40 = -72 \end{aligned} $$ ## Combine like terms $$ -8h + 40 = -72 $$ ## Isolate the variable term and solve $$ \begin{aligned} &-8h = -72 - 40 \ &-8h = -112 \ &h = \frac{-112}{-8} \ &h = 14 \end{aligned} $$ $h = 14$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Distribute the constant through the parentheses

Combine like terms

Isolate the variable term and solve

Answer: