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Simplifying -12m + 14 = -9m + -7 Reorder the terms: 14 + -12m = -9m + -7 Reorder the terms: 14 + -12m = -7 + -9m Solving 14 + -12m = -7 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. 14 + -12m + 9m = -7 + -9m + 9m Combine like terms: -12m + 9m = -3m 14 + -3m = -7 + -9m + 9m Combine like terms: -9m + 9m = 0 14 + -3m = -7 + 0 14 + -3m = -7 Add '-14' to each side of the equation. 14 + -14 + -3m = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -3m = -7 + -14 -3m = -7 + -14 Combine like terms: -7 + -14 = -21 -3m = -21 Divide each side by '-3'. m = 7 Simplifying m = 7
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