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Simplifying 5(3m + 1) = 2(5m + -3) Reorder the terms: 5(1 + 3m) = 2(5m + -3) (1 * 5 + 3m * 5) = 2(5m + -3) (5 + 15m) = 2(5m + -3) Reorder the terms: 5 + 15m = 2(-3 + 5m) 5 + 15m = (-3 * 2 + 5m * 2) 5 + 15m = (-6 + 10m) Solving 5 + 15m = -6 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 5 + 15m + -10m = -6 + 10m + -10m Combine like terms: 15m + -10m = 5m 5 + 5m = -6 + 10m + -10m Combine like terms: 10m + -10m = 0 5 + 5m = -6 + 0 5 + 5m = -6 Add '-5' to each side of the equation. 5 + -5 + 5m = -6 + -5 Combine like terms: 5 + -5 = 0 0 + 5m = -6 + -5 5m = -6 + -5 Combine like terms: -6 + -5 = -11 5m = -11 Divide each side by '5'. m = -2.2 Simplifying m = -2.2
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