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Simplifying 3m + 2 + 6m = 12m + 17 Reorder the terms: 2 + 3m + 6m = 12m + 17 Combine like terms: 3m + 6m = 9m 2 + 9m = 12m + 17 Reorder the terms: 2 + 9m = 17 + 12m Solving 2 + 9m = 17 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 2 + 9m + -12m = 17 + 12m + -12m Combine like terms: 9m + -12m = -3m 2 + -3m = 17 + 12m + -12m Combine like terms: 12m + -12m = 0 2 + -3m = 17 + 0 2 + -3m = 17 Add '-2' to each side of the equation. 2 + -2 + -3m = 17 + -2 Combine like terms: 2 + -2 = 0 0 + -3m = 17 + -2 -3m = 17 + -2 Combine like terms: 17 + -2 = 15 -3m = 15 Divide each side by '-3'. m = -5 Simplifying m = -5
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