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Simplifying -2(m + 6) + 6(m + 6) = 10 + 6m + 3m + 9 Reorder the terms: -2(6 + m) + 6(m + 6) = 10 + 6m + 3m + 9 (6 * -2 + m * -2) + 6(m + 6) = 10 + 6m + 3m + 9 (-12 + -2m) + 6(m + 6) = 10 + 6m + 3m + 9 Reorder the terms: -12 + -2m + 6(6 + m) = 10 + 6m + 3m + 9 -12 + -2m + (6 * 6 + m * 6) = 10 + 6m + 3m + 9 -12 + -2m + (36 + 6m) = 10 + 6m + 3m + 9 Reorder the terms: -12 + 36 + -2m + 6m = 10 + 6m + 3m + 9 Combine like terms: -12 + 36 = 24 24 + -2m + 6m = 10 + 6m + 3m + 9 Combine like terms: -2m + 6m = 4m 24 + 4m = 10 + 6m + 3m + 9 Reorder the terms: 24 + 4m = 10 + 9 + 6m + 3m Combine like terms: 10 + 9 = 19 24 + 4m = 19 + 6m + 3m Combine like terms: 6m + 3m = 9m 24 + 4m = 19 + 9m Solving 24 + 4m = 19 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 24 + 4m + -9m = 19 + 9m + -9m Combine like terms: 4m + -9m = -5m 24 + -5m = 19 + 9m + -9m Combine like terms: 9m + -9m = 0 24 + -5m = 19 + 0 24 + -5m = 19 Add '-24' to each side of the equation. 24 + -24 + -5m = 19 + -24 Combine like terms: 24 + -24 = 0 0 + -5m = 19 + -24 -5m = 19 + -24 Combine like terms: 19 + -24 = -5 -5m = -5 Divide each side by '-5'. m = 1 Simplifying m = 1
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