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Simplifying -4m + 8 + -7(m + -6) = 5m + -1(2m + -8) + -9m + 7 Reorder the terms: -4m + 8 + -7(-6 + m) = 5m + -1(2m + -8) + -9m + 7 -4m + 8 + (-6 * -7 + m * -7) = 5m + -1(2m + -8) + -9m + 7 -4m + 8 + (42 + -7m) = 5m + -1(2m + -8) + -9m + 7 Reorder the terms: 8 + 42 + -4m + -7m = 5m + -1(2m + -8) + -9m + 7 Combine like terms: 8 + 42 = 50 50 + -4m + -7m = 5m + -1(2m + -8) + -9m + 7 Combine like terms: -4m + -7m = -11m 50 + -11m = 5m + -1(2m + -8) + -9m + 7 Reorder the terms: 50 + -11m = 5m + -1(-8 + 2m) + -9m + 7 50 + -11m = 5m + (-8 * -1 + 2m * -1) + -9m + 7 50 + -11m = 5m + (8 + -2m) + -9m + 7 Reorder the terms: 50 + -11m = 8 + 7 + 5m + -2m + -9m Combine like terms: 8 + 7 = 15 50 + -11m = 15 + 5m + -2m + -9m Combine like terms: 5m + -2m = 3m 50 + -11m = 15 + 3m + -9m Combine like terms: 3m + -9m = -6m 50 + -11m = 15 + -6m Solving 50 + -11m = 15 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 50 + -11m + 6m = 15 + -6m + 6m Combine like terms: -11m + 6m = -5m 50 + -5m = 15 + -6m + 6m Combine like terms: -6m + 6m = 0 50 + -5m = 15 + 0 50 + -5m = 15 Add '-50' to each side of the equation. 50 + -50 + -5m = 15 + -50 Combine like terms: 50 + -50 = 0 0 + -5m = 15 + -50 -5m = 15 + -50 Combine like terms: 15 + -50 = -35 -5m = -35 Divide each side by '-5'. m = 7 Simplifying m = 7
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