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Simplifying -6m + 20 + -7(m + -3) = 7m + -1(3m + -7) + -9m + 2 Reorder the terms: -6m + 20 + -7(-3 + m) = 7m + -1(3m + -7) + -9m + 2 -6m + 20 + (-3 * -7 + m * -7) = 7m + -1(3m + -7) + -9m + 2 -6m + 20 + (21 + -7m) = 7m + -1(3m + -7) + -9m + 2 Reorder the terms: 20 + 21 + -6m + -7m = 7m + -1(3m + -7) + -9m + 2 Combine like terms: 20 + 21 = 41 41 + -6m + -7m = 7m + -1(3m + -7) + -9m + 2 Combine like terms: -6m + -7m = -13m 41 + -13m = 7m + -1(3m + -7) + -9m + 2 Reorder the terms: 41 + -13m = 7m + -1(-7 + 3m) + -9m + 2 41 + -13m = 7m + (-7 * -1 + 3m * -1) + -9m + 2 41 + -13m = 7m + (7 + -3m) + -9m + 2 Reorder the terms: 41 + -13m = 7 + 2 + 7m + -3m + -9m Combine like terms: 7 + 2 = 9 41 + -13m = 9 + 7m + -3m + -9m Combine like terms: 7m + -3m = 4m 41 + -13m = 9 + 4m + -9m Combine like terms: 4m + -9m = -5m 41 + -13m = 9 + -5m Solving 41 + -13m = 9 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 41 + -13m + 5m = 9 + -5m + 5m Combine like terms: -13m + 5m = -8m 41 + -8m = 9 + -5m + 5m Combine like terms: -5m + 5m = 0 41 + -8m = 9 + 0 41 + -8m = 9 Add '-41' to each side of the equation. 41 + -41 + -8m = 9 + -41 Combine like terms: 41 + -41 = 0 0 + -8m = 9 + -41 -8m = 9 + -41 Combine like terms: 9 + -41 = -32 -8m = -32 Divide each side by '-8'. m = 4 Simplifying m = 4
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