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Question
how many solutions does this equation have? -9m + 7 + 3m = 7 - 6m no solution one solution infinitely many solutions
Step1: Combine like terms on left
$-9m + 3m + 7 = -6m + 7$
Step2: Simplify left side
$-6m + 7 = -6m + 7$
Step3: Analyze equation
Subtract $-6m + 7$ from both sides: $0 = 0$. This is always true, so any $m$ works.
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infinitely many solutions