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Simplifying 2(2m + 10) = 12(m + -1) Reorder the terms: 2(10 + 2m) = 12(m + -1) (10 * 2 + 2m * 2) = 12(m + -1) (20 + 4m) = 12(m + -1) Reorder the terms: 20 + 4m = 12(-1 + m) 20 + 4m = (-1 * 12 + m * 12) 20 + 4m = (-12 + 12m) Solving 20 + 4m = -12 + 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. 20 + 4m + -12m = -12 + 12m + -12m Combine like terms: 4m + -12m = -8m 20 + -8m = -12 + 12m + -12m Combine like terms: 12m + -12m = 0 20 + -8m = -12 + 0 20 + -8m = -12 Add '-20' to each side of the equation. 20 + -20 + -8m = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -8m = -12 + -20 -8m = -12 + -20 Combine like terms: -12 + -20 = -32 -8m = -32 Divide each side by '-8'. m = 4 Simplifying m = 4
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