solve the following linear equation using equivalent equations to isolate the variable. express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places.

\-8z + 2z = 4 + 14\

Question

solve the following linear equation using equivalent equations to isolate the variable. express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places.

\-8z + 2z = 4 + 14\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Solving Linear Equations", "Combining Like Terms" ], "current_concepts": [ "Solving Linear Equations", "Combining Like Terms" ] } ## Combine like terms on both sides $$ \begin{aligned} -8z + 2z &= -6z \ 4 + 14 &= 18 \end{aligned} $$ ## Write the simplified equation $$ -6z = 18 $$ ## Solve for z by division $$ \begin{aligned} z &= \frac{18}{-6} \ z &= -3 \end{aligned} $$ Solve the following linear equation using equivalent equations to isolate the variable. Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places. $$-8z + 2z = 4 + 14$$ $z =$ -3 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Linear Equations" ] }

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Question

Explanation:

Combine like terms on both sides

Write the simplified equation

Solve for z by division

Answer: