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Simplifying -5m + 36 + -7(m + -5) = 7m + -1(6m + -7) + -3m + 4 Reorder the terms: -5m + 36 + -7(-5 + m) = 7m + -1(6m + -7) + -3m + 4 -5m + 36 + (-5 * -7 + m * -7) = 7m + -1(6m + -7) + -3m + 4 -5m + 36 + (35 + -7m) = 7m + -1(6m + -7) + -3m + 4 Reorder the terms: 36 + 35 + -5m + -7m = 7m + -1(6m + -7) + -3m + 4 Combine like terms: 36 + 35 = 71 71 + -5m + -7m = 7m + -1(6m + -7) + -3m + 4 Combine like terms: -5m + -7m = -12m 71 + -12m = 7m + -1(6m + -7) + -3m + 4 Reorder the terms: 71 + -12m = 7m + -1(-7 + 6m) + -3m + 4 71 + -12m = 7m + (-7 * -1 + 6m * -1) + -3m + 4 71 + -12m = 7m + (7 + -6m) + -3m + 4 Reorder the terms: 71 + -12m = 7 + 4 + 7m + -6m + -3m Combine like terms: 7 + 4 = 11 71 + -12m = 11 + 7m + -6m + -3m Combine like terms: 7m + -6m = 1m 71 + -12m = 11 + 1m + -3m Combine like terms: 1m + -3m = -2m 71 + -12m = 11 + -2m Solving 71 + -12m = 11 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 71 + -12m + 2m = 11 + -2m + 2m Combine like terms: -12m + 2m = -10m 71 + -10m = 11 + -2m + 2m Combine like terms: -2m + 2m = 0 71 + -10m = 11 + 0 71 + -10m = 11 Add '-71' to each side of the equation. 71 + -71 + -10m = 11 + -71 Combine like terms: 71 + -71 = 0 0 + -10m = 11 + -71 -10m = 11 + -71 Combine like terms: 11 + -71 = -60 -10m = -60 Divide each side by '-10'. m = 6 Simplifying m = 6
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