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Simplifying -2m + -3 + -5(m + -1) = 6m + -1(7m + -7) + -8m + 1 Reorder the terms: -2m + -3 + -5(-1 + m) = 6m + -1(7m + -7) + -8m + 1 -2m + -3 + (-1 * -5 + m * -5) = 6m + -1(7m + -7) + -8m + 1 -2m + -3 + (5 + -5m) = 6m + -1(7m + -7) + -8m + 1 Reorder the terms: -3 + 5 + -2m + -5m = 6m + -1(7m + -7) + -8m + 1 Combine like terms: -3 + 5 = 2 2 + -2m + -5m = 6m + -1(7m + -7) + -8m + 1 Combine like terms: -2m + -5m = -7m 2 + -7m = 6m + -1(7m + -7) + -8m + 1 Reorder the terms: 2 + -7m = 6m + -1(-7 + 7m) + -8m + 1 2 + -7m = 6m + (-7 * -1 + 7m * -1) + -8m + 1 2 + -7m = 6m + (7 + -7m) + -8m + 1 Reorder the terms: 2 + -7m = 7 + 1 + 6m + -7m + -8m Combine like terms: 7 + 1 = 8 2 + -7m = 8 + 6m + -7m + -8m Combine like terms: 6m + -7m = -1m 2 + -7m = 8 + -1m + -8m Combine like terms: -1m + -8m = -9m 2 + -7m = 8 + -9m Solving 2 + -7m = 8 + -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. 2 + -7m + 9m = 8 + -9m + 9m Combine like terms: -7m + 9m = 2m 2 + 2m = 8 + -9m + 9m Combine like terms: -9m + 9m = 0 2 + 2m = 8 + 0 2 + 2m = 8 Add '-2' to each side of the equation. 2 + -2 + 2m = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2m = 8 + -2 2m = 8 + -2 Combine like terms: 8 + -2 = 6 2m = 6 Divide each side by '2'. m = 3 Simplifying m = 3
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