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Simplifying -8m + 18 + -3(m + -2) = 7m + -1(4m + -4) + -9m + 5 Reorder the terms: -8m + 18 + -3(-2 + m) = 7m + -1(4m + -4) + -9m + 5 -8m + 18 + (-2 * -3 + m * -3) = 7m + -1(4m + -4) + -9m + 5 -8m + 18 + (6 + -3m) = 7m + -1(4m + -4) + -9m + 5 Reorder the terms: 18 + 6 + -8m + -3m = 7m + -1(4m + -4) + -9m + 5 Combine like terms: 18 + 6 = 24 24 + -8m + -3m = 7m + -1(4m + -4) + -9m + 5 Combine like terms: -8m + -3m = -11m 24 + -11m = 7m + -1(4m + -4) + -9m + 5 Reorder the terms: 24 + -11m = 7m + -1(-4 + 4m) + -9m + 5 24 + -11m = 7m + (-4 * -1 + 4m * -1) + -9m + 5 24 + -11m = 7m + (4 + -4m) + -9m + 5 Reorder the terms: 24 + -11m = 4 + 5 + 7m + -4m + -9m Combine like terms: 4 + 5 = 9 24 + -11m = 9 + 7m + -4m + -9m Combine like terms: 7m + -4m = 3m 24 + -11m = 9 + 3m + -9m Combine like terms: 3m + -9m = -6m 24 + -11m = 9 + -6m Solving 24 + -11m = 9 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 24 + -11m + 6m = 9 + -6m + 6m Combine like terms: -11m + 6m = -5m 24 + -5m = 9 + -6m + 6m Combine like terms: -6m + 6m = 0 24 + -5m = 9 + 0 24 + -5m = 9 Add '-24' to each side of the equation. 24 + -24 + -5m = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -5m = 9 + -24 -5m = 9 + -24 Combine like terms: 9 + -24 = -15 -5m = -15 Divide each side by '-5'. m = 3 Simplifying m = 3
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