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Simplifying -5(m + 7) + -6(8 + -3m) = 12(m + -8) + 6 Reorder the terms: -5(7 + m) + -6(8 + -3m) = 12(m + -8) + 6 (7 * -5 + m * -5) + -6(8 + -3m) = 12(m + -8) + 6 (-35 + -5m) + -6(8 + -3m) = 12(m + -8) + 6 -35 + -5m + (8 * -6 + -3m * -6) = 12(m + -8) + 6 -35 + -5m + (-48 + 18m) = 12(m + -8) + 6 Reorder the terms: -35 + -48 + -5m + 18m = 12(m + -8) + 6 Combine like terms: -35 + -48 = -83 -83 + -5m + 18m = 12(m + -8) + 6 Combine like terms: -5m + 18m = 13m -83 + 13m = 12(m + -8) + 6 Reorder the terms: -83 + 13m = 12(-8 + m) + 6 -83 + 13m = (-8 * 12 + m * 12) + 6 -83 + 13m = (-96 + 12m) + 6 Reorder the terms: -83 + 13m = -96 + 6 + 12m Combine like terms: -96 + 6 = -90 -83 + 13m = -90 + 12m Solving -83 + 13m = -90 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -83 + 13m + -12m = -90 + 12m + -12m Combine like terms: 13m + -12m = 1m -83 + 1m = -90 + 12m + -12m Combine like terms: 12m + -12m = 0 -83 + 1m = -90 + 0 -83 + 1m = -90 Add '83' to each side of the equation. -83 + 83 + 1m = -90 + 83 Combine like terms: -83 + 83 = 0 0 + 1m = -90 + 83 1m = -90 + 83 Combine like terms: -90 + 83 = -7 1m = -7 Divide each side by '1'. m = -7 Simplifying m = -7
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