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Simplifying -4(3m + 1) + -5(m + -8) = -15 Reorder the terms: -4(1 + 3m) + -5(m + -8) = -15 (1 * -4 + 3m * -4) + -5(m + -8) = -15 (-4 + -12m) + -5(m + -8) = -15 Reorder the terms: -4 + -12m + -5(-8 + m) = -15 -4 + -12m + (-8 * -5 + m * -5) = -15 -4 + -12m + (40 + -5m) = -15 Reorder the terms: -4 + 40 + -12m + -5m = -15 Combine like terms: -4 + 40 = 36 36 + -12m + -5m = -15 Combine like terms: -12m + -5m = -17m 36 + -17m = -15 Solving 36 + -17m = -15 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -17m = -15 + -36 Combine like terms: 36 + -36 = 0 0 + -17m = -15 + -36 -17m = -15 + -36 Combine like terms: -15 + -36 = -51 -17m = -51 Divide each side by '-17'. m = 3 Simplifying m = 3
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