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Simplifying -7m + 6 + -9(m + -2) = 2m + -1(9m + -8) + -4m + 1 Reorder the terms: -7m + 6 + -9(-2 + m) = 2m + -1(9m + -8) + -4m + 1 -7m + 6 + (-2 * -9 + m * -9) = 2m + -1(9m + -8) + -4m + 1 -7m + 6 + (18 + -9m) = 2m + -1(9m + -8) + -4m + 1 Reorder the terms: 6 + 18 + -7m + -9m = 2m + -1(9m + -8) + -4m + 1 Combine like terms: 6 + 18 = 24 24 + -7m + -9m = 2m + -1(9m + -8) + -4m + 1 Combine like terms: -7m + -9m = -16m 24 + -16m = 2m + -1(9m + -8) + -4m + 1 Reorder the terms: 24 + -16m = 2m + -1(-8 + 9m) + -4m + 1 24 + -16m = 2m + (-8 * -1 + 9m * -1) + -4m + 1 24 + -16m = 2m + (8 + -9m) + -4m + 1 Reorder the terms: 24 + -16m = 8 + 1 + 2m + -9m + -4m Combine like terms: 8 + 1 = 9 24 + -16m = 9 + 2m + -9m + -4m Combine like terms: 2m + -9m = -7m 24 + -16m = 9 + -7m + -4m Combine like terms: -7m + -4m = -11m 24 + -16m = 9 + -11m Solving 24 + -16m = 9 + -11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11m' to each side of the equation. 24 + -16m + 11m = 9 + -11m + 11m Combine like terms: -16m + 11m = -5m 24 + -5m = 9 + -11m + 11m Combine like terms: -11m + 11m = 0 24 + -5m = 9 + 0 24 + -5m = 9 Add '-24' to each side of the equation. 24 + -24 + -5m = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -5m = 9 + -24 -5m = 9 + -24 Combine like terms: 9 + -24 = -15 -5m = -15 Divide each side by '-5'. m = 3 Simplifying m = 3
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