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Simplifying -5m + 4 + -5(m + -4) = 8m + -1(7m + -4) + -9m + 6 Reorder the terms: -5m + 4 + -5(-4 + m) = 8m + -1(7m + -4) + -9m + 6 -5m + 4 + (-4 * -5 + m * -5) = 8m + -1(7m + -4) + -9m + 6 -5m + 4 + (20 + -5m) = 8m + -1(7m + -4) + -9m + 6 Reorder the terms: 4 + 20 + -5m + -5m = 8m + -1(7m + -4) + -9m + 6 Combine like terms: 4 + 20 = 24 24 + -5m + -5m = 8m + -1(7m + -4) + -9m + 6 Combine like terms: -5m + -5m = -10m 24 + -10m = 8m + -1(7m + -4) + -9m + 6 Reorder the terms: 24 + -10m = 8m + -1(-4 + 7m) + -9m + 6 24 + -10m = 8m + (-4 * -1 + 7m * -1) + -9m + 6 24 + -10m = 8m + (4 + -7m) + -9m + 6 Reorder the terms: 24 + -10m = 4 + 6 + 8m + -7m + -9m Combine like terms: 4 + 6 = 10 24 + -10m = 10 + 8m + -7m + -9m Combine like terms: 8m + -7m = 1m 24 + -10m = 10 + 1m + -9m Combine like terms: 1m + -9m = -8m 24 + -10m = 10 + -8m Solving 24 + -10m = 10 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 24 + -10m + 8m = 10 + -8m + 8m Combine like terms: -10m + 8m = -2m 24 + -2m = 10 + -8m + 8m Combine like terms: -8m + 8m = 0 24 + -2m = 10 + 0 24 + -2m = 10 Add '-24' to each side of the equation. 24 + -24 + -2m = 10 + -24 Combine like terms: 24 + -24 = 0 0 + -2m = 10 + -24 -2m = 10 + -24 Combine like terms: 10 + -24 = -14 -2m = -14 Divide each side by '-2'. m = 7 Simplifying m = 7
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