what is the solution to the linear equation?

\-12 + 3b - 1 = -5 - b\

$b = -2$
$b = -1.5$
$b = 1.5$
$b = 2$

Question

what is the solution to the linear equation?

\-12 + 3b - 1 = -5 - b\

$b = -2$
$b = -1.5$
$b = 1.5$
$b = 2$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Linear Equation Solving" ], "new_concepts": [], "current_concepts": [ "Linear Equation Solving" ] } ## Write down the given equation Using the *Linear Equation Solving* knowledge point $$ -12 + 3b - 1 = -5 - b $$ ## Simplify the left side of the equation Using the *Linear Equation Solving* knowledge point $$ 3b - 13 = -5 - b $$ ## Move all variable terms to one side Using the *Linear Equation Solving* knowledge point $$ \begin{aligned} 3b + b - 13 &= -5 \ 4b - 13 &= -5 \end{aligned} $$ ## Isolate the variable term Using the *Linear Equation Solving* knowledge point $$ \begin{aligned} 4b &= -5 + 13 \ 4b &= 8 \end{aligned} $$ ## Solve for b Using the *Linear Equation Solving* knowledge point $$ \begin{aligned} b &= \frac{8}{4} \ b &= 2 \end{aligned} $$

(A) $b = -2$

(B) $b = -1.5$

(C) $b = 1.5$

(D) $b = 2$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equation Solving" ] }

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Question

Explanation:

Write down the given equation

Simplify the left side of the equation

Move all variable terms to one side

Isolate the variable term

Solve for b

Answer: