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Simplifying 6(m + 10) = 12(m + 10) + 4m Reorder the terms: 6(10 + m) = 12(m + 10) + 4m (10 * 6 + m * 6) = 12(m + 10) + 4m (60 + 6m) = 12(m + 10) + 4m Reorder the terms: 60 + 6m = 12(10 + m) + 4m 60 + 6m = (10 * 12 + m * 12) + 4m 60 + 6m = (120 + 12m) + 4m Combine like terms: 12m + 4m = 16m 60 + 6m = 120 + 16m Solving 60 + 6m = 120 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. 60 + 6m + -16m = 120 + 16m + -16m Combine like terms: 6m + -16m = -10m 60 + -10m = 120 + 16m + -16m Combine like terms: 16m + -16m = 0 60 + -10m = 120 + 0 60 + -10m = 120 Add '-60' to each side of the equation. 60 + -60 + -10m = 120 + -60 Combine like terms: 60 + -60 = 0 0 + -10m = 120 + -60 -10m = 120 + -60 Combine like terms: 120 + -60 = 60 -10m = 60 Divide each side by '-10'. m = -6 Simplifying m = -6
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