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Simplifying -4m + -5 + -6(m + -1) = 2m + -1(7m + -3) + -8m + 4 Reorder the terms: -4m + -5 + -6(-1 + m) = 2m + -1(7m + -3) + -8m + 4 -4m + -5 + (-1 * -6 + m * -6) = 2m + -1(7m + -3) + -8m + 4 -4m + -5 + (6 + -6m) = 2m + -1(7m + -3) + -8m + 4 Reorder the terms: -5 + 6 + -4m + -6m = 2m + -1(7m + -3) + -8m + 4 Combine like terms: -5 + 6 = 1 1 + -4m + -6m = 2m + -1(7m + -3) + -8m + 4 Combine like terms: -4m + -6m = -10m 1 + -10m = 2m + -1(7m + -3) + -8m + 4 Reorder the terms: 1 + -10m = 2m + -1(-3 + 7m) + -8m + 4 1 + -10m = 2m + (-3 * -1 + 7m * -1) + -8m + 4 1 + -10m = 2m + (3 + -7m) + -8m + 4 Reorder the terms: 1 + -10m = 3 + 4 + 2m + -7m + -8m Combine like terms: 3 + 4 = 7 1 + -10m = 7 + 2m + -7m + -8m Combine like terms: 2m + -7m = -5m 1 + -10m = 7 + -5m + -8m Combine like terms: -5m + -8m = -13m 1 + -10m = 7 + -13m Solving 1 + -10m = 7 + -13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13m' to each side of the equation. 1 + -10m + 13m = 7 + -13m + 13m Combine like terms: -10m + 13m = 3m 1 + 3m = 7 + -13m + 13m Combine like terms: -13m + 13m = 0 1 + 3m = 7 + 0 1 + 3m = 7 Add '-1' to each side of the equation. 1 + -1 + 3m = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 3m = 7 + -1 3m = 7 + -1 Combine like terms: 7 + -1 = 6 3m = 6 Divide each side by '3'. m = 2 Simplifying m = 2
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