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Simplifying -6m + 56 + -4(m + -1) = 8m + -1(7m + -9) + -3m + 3 Reorder the terms: -6m + 56 + -4(-1 + m) = 8m + -1(7m + -9) + -3m + 3 -6m + 56 + (-1 * -4 + m * -4) = 8m + -1(7m + -9) + -3m + 3 -6m + 56 + (4 + -4m) = 8m + -1(7m + -9) + -3m + 3 Reorder the terms: 56 + 4 + -6m + -4m = 8m + -1(7m + -9) + -3m + 3 Combine like terms: 56 + 4 = 60 60 + -6m + -4m = 8m + -1(7m + -9) + -3m + 3 Combine like terms: -6m + -4m = -10m 60 + -10m = 8m + -1(7m + -9) + -3m + 3 Reorder the terms: 60 + -10m = 8m + -1(-9 + 7m) + -3m + 3 60 + -10m = 8m + (-9 * -1 + 7m * -1) + -3m + 3 60 + -10m = 8m + (9 + -7m) + -3m + 3 Reorder the terms: 60 + -10m = 9 + 3 + 8m + -7m + -3m Combine like terms: 9 + 3 = 12 60 + -10m = 12 + 8m + -7m + -3m Combine like terms: 8m + -7m = 1m 60 + -10m = 12 + 1m + -3m Combine like terms: 1m + -3m = -2m 60 + -10m = 12 + -2m Solving 60 + -10m = 12 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 60 + -10m + 2m = 12 + -2m + 2m Combine like terms: -10m + 2m = -8m 60 + -8m = 12 + -2m + 2m Combine like terms: -2m + 2m = 0 60 + -8m = 12 + 0 60 + -8m = 12 Add '-60' to each side of the equation. 60 + -60 + -8m = 12 + -60 Combine like terms: 60 + -60 = 0 0 + -8m = 12 + -60 -8m = 12 + -60 Combine like terms: 12 + -60 = -48 -8m = -48 Divide each side by '-8'. m = 6 Simplifying m = 6
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