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Simplifying 2m + 12 = 3m + -17 Reorder the terms: 12 + 2m = 3m + -17 Reorder the terms: 12 + 2m = -17 + 3m Solving 12 + 2m = -17 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 12 + 2m + -3m = -17 + 3m + -3m Combine like terms: 2m + -3m = -1m 12 + -1m = -17 + 3m + -3m Combine like terms: 3m + -3m = 0 12 + -1m = -17 + 0 12 + -1m = -17 Add '-12' to each side of the equation. 12 + -12 + -1m = -17 + -12 Combine like terms: 12 + -12 = 0 0 + -1m = -17 + -12 -1m = -17 + -12 Combine like terms: -17 + -12 = -29 -1m = -29 Divide each side by '-1'. m = 29 Simplifying m = 29
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