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how many solutions does this equation have? -9m + 7 + 3m = 7 - 6m no so…

Question

how many solutions does this equation have? -9m + 7 + 3m = 7 - 6m no solution one solution infinitely many solutions

Explanation:

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.

Answer:

infinitely many solutions