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Simplifying 2(10 + 12m) + -10 = 12(m + 8) + -10 (10 * 2 + 12m * 2) + -10 = 12(m + 8) + -10 (20 + 24m) + -10 = 12(m + 8) + -10 Reorder the terms: 20 + -10 + 24m = 12(m + 8) + -10 Combine like terms: 20 + -10 = 10 10 + 24m = 12(m + 8) + -10 Reorder the terms: 10 + 24m = 12(8 + m) + -10 10 + 24m = (8 * 12 + m * 12) + -10 10 + 24m = (96 + 12m) + -10 Reorder the terms: 10 + 24m = 96 + -10 + 12m Combine like terms: 96 + -10 = 86 10 + 24m = 86 + 12m Solving 10 + 24m = 86 + 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. 10 + 24m + -12m = 86 + 12m + -12m Combine like terms: 24m + -12m = 12m 10 + 12m = 86 + 12m + -12m Combine like terms: 12m + -12m = 0 10 + 12m = 86 + 0 10 + 12m = 86 Add '-10' to each side of the equation. 10 + -10 + 12m = 86 + -10 Combine like terms: 10 + -10 = 0 0 + 12m = 86 + -10 12m = 86 + -10 Combine like terms: 86 + -10 = 76 12m = 76 Divide each side by '12'. m = 6.333333333 Simplifying m = 6.333333333
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