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