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Simplifying -3m + 5 + -8(m + -5) = 6m + -1(5m + -8) + -7m + 7 Reorder the terms: -3m + 5 + -8(-5 + m) = 6m + -1(5m + -8) + -7m + 7 -3m + 5 + (-5 * -8 + m * -8) = 6m + -1(5m + -8) + -7m + 7 -3m + 5 + (40 + -8m) = 6m + -1(5m + -8) + -7m + 7 Reorder the terms: 5 + 40 + -3m + -8m = 6m + -1(5m + -8) + -7m + 7 Combine like terms: 5 + 40 = 45 45 + -3m + -8m = 6m + -1(5m + -8) + -7m + 7 Combine like terms: -3m + -8m = -11m 45 + -11m = 6m + -1(5m + -8) + -7m + 7 Reorder the terms: 45 + -11m = 6m + -1(-8 + 5m) + -7m + 7 45 + -11m = 6m + (-8 * -1 + 5m * -1) + -7m + 7 45 + -11m = 6m + (8 + -5m) + -7m + 7 Reorder the terms: 45 + -11m = 8 + 7 + 6m + -5m + -7m Combine like terms: 8 + 7 = 15 45 + -11m = 15 + 6m + -5m + -7m Combine like terms: 6m + -5m = 1m 45 + -11m = 15 + 1m + -7m Combine like terms: 1m + -7m = -6m 45 + -11m = 15 + -6m Solving 45 + -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. 45 + -11m + 6m = 15 + -6m + 6m Combine like terms: -11m + 6m = -5m 45 + -5m = 15 + -6m + 6m Combine like terms: -6m + 6m = 0 45 + -5m = 15 + 0 45 + -5m = 15 Add '-45' to each side of the equation. 45 + -45 + -5m = 15 + -45 Combine like terms: 45 + -45 = 0 0 + -5m = 15 + -45 -5m = 15 + -45 Combine like terms: 15 + -45 = -30 -5m = -30 Divide each side by '-5'. m = 6 Simplifying m = 6
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