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Simplifying -3m + 20 + -7(m + -3) = 7m + -1(2m + -8) + -8m + 5 Reorder the terms: -3m + 20 + -7(-3 + m) = 7m + -1(2m + -8) + -8m + 5 -3m + 20 + (-3 * -7 + m * -7) = 7m + -1(2m + -8) + -8m + 5 -3m + 20 + (21 + -7m) = 7m + -1(2m + -8) + -8m + 5 Reorder the terms: 20 + 21 + -3m + -7m = 7m + -1(2m + -8) + -8m + 5 Combine like terms: 20 + 21 = 41 41 + -3m + -7m = 7m + -1(2m + -8) + -8m + 5 Combine like terms: -3m + -7m = -10m 41 + -10m = 7m + -1(2m + -8) + -8m + 5 Reorder the terms: 41 + -10m = 7m + -1(-8 + 2m) + -8m + 5 41 + -10m = 7m + (-8 * -1 + 2m * -1) + -8m + 5 41 + -10m = 7m + (8 + -2m) + -8m + 5 Reorder the terms: 41 + -10m = 8 + 5 + 7m + -2m + -8m Combine like terms: 8 + 5 = 13 41 + -10m = 13 + 7m + -2m + -8m Combine like terms: 7m + -2m = 5m 41 + -10m = 13 + 5m + -8m Combine like terms: 5m + -8m = -3m 41 + -10m = 13 + -3m Solving 41 + -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. 41 + -10m + 3m = 13 + -3m + 3m Combine like terms: -10m + 3m = -7m 41 + -7m = 13 + -3m + 3m Combine like terms: -3m + 3m = 0 41 + -7m = 13 + 0 41 + -7m = 13 Add '-41' to each side of the equation. 41 + -41 + -7m = 13 + -41 Combine like terms: 41 + -41 = 0 0 + -7m = 13 + -41 -7m = 13 + -41 Combine like terms: 13 + -41 = -28 -7m = -28 Divide each side by '-7'. m = 4 Simplifying m = 4
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