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Simplifying 5(m + -4) + -3(3m + -1) = 15 Reorder the terms: 5(-4 + m) + -3(3m + -1) = 15 (-4 * 5 + m * 5) + -3(3m + -1) = 15 (-20 + 5m) + -3(3m + -1) = 15 Reorder the terms: -20 + 5m + -3(-1 + 3m) = 15 -20 + 5m + (-1 * -3 + 3m * -3) = 15 -20 + 5m + (3 + -9m) = 15 Reorder the terms: -20 + 3 + 5m + -9m = 15 Combine like terms: -20 + 3 = -17 -17 + 5m + -9m = 15 Combine like terms: 5m + -9m = -4m -17 + -4m = 15 Solving -17 + -4m = 15 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -4m = 15 + 17 Combine like terms: -17 + 17 = 0 0 + -4m = 15 + 17 -4m = 15 + 17 Combine like terms: 15 + 17 = 32 -4m = 32 Divide each side by '-4'. m = -8 Simplifying m = -8
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