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Simplifying 12m + 4m = 12(m + -10) + 8(9 + m) Combine like terms: 12m + 4m = 16m 16m = 12(m + -10) + 8(9 + m) Reorder the terms: 16m = 12(-10 + m) + 8(9 + m) 16m = (-10 * 12 + m * 12) + 8(9 + m) 16m = (-120 + 12m) + 8(9 + m) 16m = -120 + 12m + (9 * 8 + m * 8) 16m = -120 + 12m + (72 + 8m) Reorder the terms: 16m = -120 + 72 + 12m + 8m Combine like terms: -120 + 72 = -48 16m = -48 + 12m + 8m Combine like terms: 12m + 8m = 20m 16m = -48 + 20m Solving 16m = -48 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. 16m + -20m = -48 + 20m + -20m Combine like terms: 16m + -20m = -4m -4m = -48 + 20m + -20m Combine like terms: 20m + -20m = 0 -4m = -48 + 0 -4m = -48 Divide each side by '-4'. m = 12 Simplifying m = 12
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