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Simplifying -3m + 7 + -4(m + -1) = 9m + -1(5m + -2) + -7m + 1 Reorder the terms: -3m + 7 + -4(-1 + m) = 9m + -1(5m + -2) + -7m + 1 -3m + 7 + (-1 * -4 + m * -4) = 9m + -1(5m + -2) + -7m + 1 -3m + 7 + (4 + -4m) = 9m + -1(5m + -2) + -7m + 1 Reorder the terms: 7 + 4 + -3m + -4m = 9m + -1(5m + -2) + -7m + 1 Combine like terms: 7 + 4 = 11 11 + -3m + -4m = 9m + -1(5m + -2) + -7m + 1 Combine like terms: -3m + -4m = -7m 11 + -7m = 9m + -1(5m + -2) + -7m + 1 Reorder the terms: 11 + -7m = 9m + -1(-2 + 5m) + -7m + 1 11 + -7m = 9m + (-2 * -1 + 5m * -1) + -7m + 1 11 + -7m = 9m + (2 + -5m) + -7m + 1 Reorder the terms: 11 + -7m = 2 + 1 + 9m + -5m + -7m Combine like terms: 2 + 1 = 3 11 + -7m = 3 + 9m + -5m + -7m Combine like terms: 9m + -5m = 4m 11 + -7m = 3 + 4m + -7m Combine like terms: 4m + -7m = -3m 11 + -7m = 3 + -3m Solving 11 + -7m = 3 + -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. 11 + -7m + 3m = 3 + -3m + 3m Combine like terms: -7m + 3m = -4m 11 + -4m = 3 + -3m + 3m Combine like terms: -3m + 3m = 0 11 + -4m = 3 + 0 11 + -4m = 3 Add '-11' to each side of the equation. 11 + -11 + -4m = 3 + -11 Combine like terms: 11 + -11 = 0 0 + -4m = 3 + -11 -4m = 3 + -11 Combine like terms: 3 + -11 = -8 -4m = -8 Divide each side by '-4'. m = 2 Simplifying m = 2
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