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Simplifying 78 = 2(3m + -6) + 3m Reorder the terms: 78 = 2(-6 + 3m) + 3m 78 = (-6 * 2 + 3m * 2) + 3m 78 = (-12 + 6m) + 3m Combine like terms: 6m + 3m = 9m 78 = -12 + 9m Solving 78 = -12 + 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. 78 + -9m = -12 + 9m + -9m Combine like terms: 9m + -9m = 0 78 + -9m = -12 + 0 78 + -9m = -12 Add '-78' to each side of the equation. 78 + -78 + -9m = -12 + -78 Combine like terms: 78 + -78 = 0 0 + -9m = -12 + -78 -9m = -12 + -78 Combine like terms: -12 + -78 = -90 -9m = -90 Divide each side by '-9'. m = 10 Simplifying m = 10
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