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Simplifying -2m + 10 + -9(m + -1) = 4m + -1(6m + -9) + -5m + 2 Reorder the terms: -2m + 10 + -9(-1 + m) = 4m + -1(6m + -9) + -5m + 2 -2m + 10 + (-1 * -9 + m * -9) = 4m + -1(6m + -9) + -5m + 2 -2m + 10 + (9 + -9m) = 4m + -1(6m + -9) + -5m + 2 Reorder the terms: 10 + 9 + -2m + -9m = 4m + -1(6m + -9) + -5m + 2 Combine like terms: 10 + 9 = 19 19 + -2m + -9m = 4m + -1(6m + -9) + -5m + 2 Combine like terms: -2m + -9m = -11m 19 + -11m = 4m + -1(6m + -9) + -5m + 2 Reorder the terms: 19 + -11m = 4m + -1(-9 + 6m) + -5m + 2 19 + -11m = 4m + (-9 * -1 + 6m * -1) + -5m + 2 19 + -11m = 4m + (9 + -6m) + -5m + 2 Reorder the terms: 19 + -11m = 9 + 2 + 4m + -6m + -5m Combine like terms: 9 + 2 = 11 19 + -11m = 11 + 4m + -6m + -5m Combine like terms: 4m + -6m = -2m 19 + -11m = 11 + -2m + -5m Combine like terms: -2m + -5m = -7m 19 + -11m = 11 + -7m Solving 19 + -11m = 11 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 19 + -11m + 7m = 11 + -7m + 7m Combine like terms: -11m + 7m = -4m 19 + -4m = 11 + -7m + 7m Combine like terms: -7m + 7m = 0 19 + -4m = 11 + 0 19 + -4m = 11 Add '-19' to each side of the equation. 19 + -19 + -4m = 11 + -19 Combine like terms: 19 + -19 = 0 0 + -4m = 11 + -19 -4m = 11 + -19 Combine like terms: 11 + -19 = -8 -4m = -8 Divide each side by '-4'. m = 2 Simplifying m = 2
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