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Simplifying 10(m + -1) = 5(3m + -4) Reorder the terms: 10(-1 + m) = 5(3m + -4) (-1 * 10 + m * 10) = 5(3m + -4) (-10 + 10m) = 5(3m + -4) Reorder the terms: -10 + 10m = 5(-4 + 3m) -10 + 10m = (-4 * 5 + 3m * 5) -10 + 10m = (-20 + 15m) Solving -10 + 10m = -20 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. -10 + 10m + -15m = -20 + 15m + -15m Combine like terms: 10m + -15m = -5m -10 + -5m = -20 + 15m + -15m Combine like terms: 15m + -15m = 0 -10 + -5m = -20 + 0 -10 + -5m = -20 Add '10' to each side of the equation. -10 + 10 + -5m = -20 + 10 Combine like terms: -10 + 10 = 0 0 + -5m = -20 + 10 -5m = -20 + 10 Combine like terms: -20 + 10 = -10 -5m = -10 Divide each side by '-5'. m = 2 Simplifying m = 2
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