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Simplifying -3m + 37 + -8(m + -5) = 7m + -1(2m + -8) + -6m + 9 Reorder the terms: -3m + 37 + -8(-5 + m) = 7m + -1(2m + -8) + -6m + 9 -3m + 37 + (-5 * -8 + m * -8) = 7m + -1(2m + -8) + -6m + 9 -3m + 37 + (40 + -8m) = 7m + -1(2m + -8) + -6m + 9 Reorder the terms: 37 + 40 + -3m + -8m = 7m + -1(2m + -8) + -6m + 9 Combine like terms: 37 + 40 = 77 77 + -3m + -8m = 7m + -1(2m + -8) + -6m + 9 Combine like terms: -3m + -8m = -11m 77 + -11m = 7m + -1(2m + -8) + -6m + 9 Reorder the terms: 77 + -11m = 7m + -1(-8 + 2m) + -6m + 9 77 + -11m = 7m + (-8 * -1 + 2m * -1) + -6m + 9 77 + -11m = 7m + (8 + -2m) + -6m + 9 Reorder the terms: 77 + -11m = 8 + 9 + 7m + -2m + -6m Combine like terms: 8 + 9 = 17 77 + -11m = 17 + 7m + -2m + -6m Combine like terms: 7m + -2m = 5m 77 + -11m = 17 + 5m + -6m Combine like terms: 5m + -6m = -1m 77 + -11m = 17 + -1m Solving 77 + -11m = 17 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 77 + -11m + m = 17 + -1m + m Combine like terms: -11m + m = -10m 77 + -10m = 17 + -1m + m Combine like terms: -1m + m = 0 77 + -10m = 17 + 0 77 + -10m = 17 Add '-77' to each side of the equation. 77 + -77 + -10m = 17 + -77 Combine like terms: 77 + -77 = 0 0 + -10m = 17 + -77 -10m = 17 + -77 Combine like terms: 17 + -77 = -60 -10m = -60 Divide each side by '-10'. m = 6 Simplifying m = 6
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