solve the equation to find z.

\-3(4z - 5) = 99\

\z = \

Question

solve the equation to find z.

\-3(4z - 5) = 99\

\z = \

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations", "Algebraic Simplification" ], "new_concepts": [], "current_concepts": [ "Linear Equations", "Algebraic Simplification" ] } ## Divide both sides by -3 $$ \begin{aligned} -3(4z - 5) &= 99 \ 4z - 5 &= \frac{99}{-3} \ 4z - 5 &= -33 \end{aligned} $$ ## Add 5 to both sides $$ \begin{aligned} 4z &= -33 + 5 \ 4z &= -28 \end{aligned} $$ ## Divide by 4 to solve for z $$ \begin{aligned} z &= \frac{-28}{4} \ z &= -7 \end{aligned} $$ Solve the equation to find z. $-3(4z - 5) = 99$ $z =$ -7 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Divide both sides by -3

Add 5 to both sides

Divide by 4 to solve for z

Answer: