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Simplifying -2m + 7m + -4(m + -2) = 8m + -1(3m + -2) + -9m + 7 Reorder the terms: -2m + 7m + -4(-2 + m) = 8m + -1(3m + -2) + -9m + 7 -2m + 7m + (-2 * -4 + m * -4) = 8m + -1(3m + -2) + -9m + 7 -2m + 7m + (8 + -4m) = 8m + -1(3m + -2) + -9m + 7 Reorder the terms: 8 + -2m + 7m + -4m = 8m + -1(3m + -2) + -9m + 7 Combine like terms: -2m + 7m = 5m 8 + 5m + -4m = 8m + -1(3m + -2) + -9m + 7 Combine like terms: 5m + -4m = 1m 8 + 1m = 8m + -1(3m + -2) + -9m + 7 Reorder the terms: 8 + 1m = 8m + -1(-2 + 3m) + -9m + 7 8 + 1m = 8m + (-2 * -1 + 3m * -1) + -9m + 7 8 + 1m = 8m + (2 + -3m) + -9m + 7 Reorder the terms: 8 + 1m = 2 + 7 + 8m + -3m + -9m Combine like terms: 2 + 7 = 9 8 + 1m = 9 + 8m + -3m + -9m Combine like terms: 8m + -3m = 5m 8 + 1m = 9 + 5m + -9m Combine like terms: 5m + -9m = -4m 8 + 1m = 9 + -4m Solving 8 + 1m = 9 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 8 + 1m + 4m = 9 + -4m + 4m Combine like terms: 1m + 4m = 5m 8 + 5m = 9 + -4m + 4m Combine like terms: -4m + 4m = 0 8 + 5m = 9 + 0 8 + 5m = 9 Add '-8' to each side of the equation. 8 + -8 + 5m = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 5m = 9 + -8 5m = 9 + -8 Combine like terms: 9 + -8 = 1 5m = 1 Divide each side by '5'. m = 0.2 Simplifying m = 0.2
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