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Simplifying 5 + -5(3m + 4) = 3(8 + -4m) Reorder the terms: 5 + -5(4 + 3m) = 3(8 + -4m) 5 + (4 * -5 + 3m * -5) = 3(8 + -4m) 5 + (-20 + -15m) = 3(8 + -4m) Combine like terms: 5 + -20 = -15 -15 + -15m = 3(8 + -4m) -15 + -15m = (8 * 3 + -4m * 3) -15 + -15m = (24 + -12m) Solving -15 + -15m = 24 + -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. -15 + -15m + 12m = 24 + -12m + 12m Combine like terms: -15m + 12m = -3m -15 + -3m = 24 + -12m + 12m Combine like terms: -12m + 12m = 0 -15 + -3m = 24 + 0 -15 + -3m = 24 Add '15' to each side of the equation. -15 + 15 + -3m = 24 + 15 Combine like terms: -15 + 15 = 0 0 + -3m = 24 + 15 -3m = 24 + 15 Combine like terms: 24 + 15 = 39 -3m = 39 Divide each side by '-3'. m = -13 Simplifying m = -13
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