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Simplifying -1m + -5 = -12(m + -6) + -2(m + -4) Reorder the terms: -5 + -1m = -12(m + -6) + -2(m + -4) Reorder the terms: -5 + -1m = -12(-6 + m) + -2(m + -4) -5 + -1m = (-6 * -12 + m * -12) + -2(m + -4) -5 + -1m = (72 + -12m) + -2(m + -4) Reorder the terms: -5 + -1m = 72 + -12m + -2(-4 + m) -5 + -1m = 72 + -12m + (-4 * -2 + m * -2) -5 + -1m = 72 + -12m + (8 + -2m) Reorder the terms: -5 + -1m = 72 + 8 + -12m + -2m Combine like terms: 72 + 8 = 80 -5 + -1m = 80 + -12m + -2m Combine like terms: -12m + -2m = -14m -5 + -1m = 80 + -14m Solving -5 + -1m = 80 + -14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14m' to each side of the equation. -5 + -1m + 14m = 80 + -14m + 14m Combine like terms: -1m + 14m = 13m -5 + 13m = 80 + -14m + 14m Combine like terms: -14m + 14m = 0 -5 + 13m = 80 + 0 -5 + 13m = 80 Add '5' to each side of the equation. -5 + 5 + 13m = 80 + 5 Combine like terms: -5 + 5 = 0 0 + 13m = 80 + 5 13m = 80 + 5 Combine like terms: 80 + 5 = 85 13m = 85 Divide each side by '13'. m = 6.538461538 Simplifying m = 6.538461538
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