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Simplifying -2m + -43 + -5(m + -4) = 3m + -1(7m + -1) + -9m + 6 Reorder the terms: -2m + -43 + -5(-4 + m) = 3m + -1(7m + -1) + -9m + 6 -2m + -43 + (-4 * -5 + m * -5) = 3m + -1(7m + -1) + -9m + 6 -2m + -43 + (20 + -5m) = 3m + -1(7m + -1) + -9m + 6 Reorder the terms: -43 + 20 + -2m + -5m = 3m + -1(7m + -1) + -9m + 6 Combine like terms: -43 + 20 = -23 -23 + -2m + -5m = 3m + -1(7m + -1) + -9m + 6 Combine like terms: -2m + -5m = -7m -23 + -7m = 3m + -1(7m + -1) + -9m + 6 Reorder the terms: -23 + -7m = 3m + -1(-1 + 7m) + -9m + 6 -23 + -7m = 3m + (-1 * -1 + 7m * -1) + -9m + 6 -23 + -7m = 3m + (1 + -7m) + -9m + 6 Reorder the terms: -23 + -7m = 1 + 6 + 3m + -7m + -9m Combine like terms: 1 + 6 = 7 -23 + -7m = 7 + 3m + -7m + -9m Combine like terms: 3m + -7m = -4m -23 + -7m = 7 + -4m + -9m Combine like terms: -4m + -9m = -13m -23 + -7m = 7 + -13m Solving -23 + -7m = 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. -23 + -7m + 13m = 7 + -13m + 13m Combine like terms: -7m + 13m = 6m -23 + 6m = 7 + -13m + 13m Combine like terms: -13m + 13m = 0 -23 + 6m = 7 + 0 -23 + 6m = 7 Add '23' to each side of the equation. -23 + 23 + 6m = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 6m = 7 + 23 6m = 7 + 23 Combine like terms: 7 + 23 = 30 6m = 30 Divide each side by '6'. m = 5 Simplifying m = 5
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