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Simplifying 5(m + -4) + 15 = 3(3m + -1) Reorder the terms: 5(-4 + m) + 15 = 3(3m + -1) (-4 * 5 + m * 5) + 15 = 3(3m + -1) (-20 + 5m) + 15 = 3(3m + -1) Reorder the terms: -20 + 15 + 5m = 3(3m + -1) Combine like terms: -20 + 15 = -5 -5 + 5m = 3(3m + -1) Reorder the terms: -5 + 5m = 3(-1 + 3m) -5 + 5m = (-1 * 3 + 3m * 3) -5 + 5m = (-3 + 9m) Solving -5 + 5m = -3 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -5 + 5m + -9m = -3 + 9m + -9m Combine like terms: 5m + -9m = -4m -5 + -4m = -3 + 9m + -9m Combine like terms: 9m + -9m = 0 -5 + -4m = -3 + 0 -5 + -4m = -3 Add '5' to each side of the equation. -5 + 5 + -4m = -3 + 5 Combine like terms: -5 + 5 = 0 0 + -4m = -3 + 5 -4m = -3 + 5 Combine like terms: -3 + 5 = 2 -4m = 2 Divide each side by '-4'. m = -0.5 Simplifying m = -0.5
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