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Simplifying -3m + 20 + -7(m + -2) = 8m + -1(6m + -6) + -5m + 7 Reorder the terms: -3m + 20 + -7(-2 + m) = 8m + -1(6m + -6) + -5m + 7 -3m + 20 + (-2 * -7 + m * -7) = 8m + -1(6m + -6) + -5m + 7 -3m + 20 + (14 + -7m) = 8m + -1(6m + -6) + -5m + 7 Reorder the terms: 20 + 14 + -3m + -7m = 8m + -1(6m + -6) + -5m + 7 Combine like terms: 20 + 14 = 34 34 + -3m + -7m = 8m + -1(6m + -6) + -5m + 7 Combine like terms: -3m + -7m = -10m 34 + -10m = 8m + -1(6m + -6) + -5m + 7 Reorder the terms: 34 + -10m = 8m + -1(-6 + 6m) + -5m + 7 34 + -10m = 8m + (-6 * -1 + 6m * -1) + -5m + 7 34 + -10m = 8m + (6 + -6m) + -5m + 7 Reorder the terms: 34 + -10m = 6 + 7 + 8m + -6m + -5m Combine like terms: 6 + 7 = 13 34 + -10m = 13 + 8m + -6m + -5m Combine like terms: 8m + -6m = 2m 34 + -10m = 13 + 2m + -5m Combine like terms: 2m + -5m = -3m 34 + -10m = 13 + -3m Solving 34 + -10m = 13 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 34 + -10m + 3m = 13 + -3m + 3m Combine like terms: -10m + 3m = -7m 34 + -7m = 13 + -3m + 3m Combine like terms: -3m + 3m = 0 34 + -7m = 13 + 0 34 + -7m = 13 Add '-34' to each side of the equation. 34 + -34 + -7m = 13 + -34 Combine like terms: 34 + -34 = 0 0 + -7m = 13 + -34 -7m = 13 + -34 Combine like terms: 13 + -34 = -21 -7m = -21 Divide each side by '-7'. m = 3 Simplifying m = 3
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