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Simplifying 3(m + 12) + -10 = 7m + -46 Reorder the terms: 3(12 + m) + -10 = 7m + -46 (12 * 3 + m * 3) + -10 = 7m + -46 (36 + 3m) + -10 = 7m + -46 Reorder the terms: 36 + -10 + 3m = 7m + -46 Combine like terms: 36 + -10 = 26 26 + 3m = 7m + -46 Reorder the terms: 26 + 3m = -46 + 7m Solving 26 + 3m = -46 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 26 + 3m + -7m = -46 + 7m + -7m Combine like terms: 3m + -7m = -4m 26 + -4m = -46 + 7m + -7m Combine like terms: 7m + -7m = 0 26 + -4m = -46 + 0 26 + -4m = -46 Add '-26' to each side of the equation. 26 + -26 + -4m = -46 + -26 Combine like terms: 26 + -26 = 0 0 + -4m = -46 + -26 -4m = -46 + -26 Combine like terms: -46 + -26 = -72 -4m = -72 Divide each side by '-4'. m = 18 Simplifying m = 18
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