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Simplifying 5(3m + 1) = 4(5m + -2) + -4(2m + -3) Reorder the terms: 5(1 + 3m) = 4(5m + -2) + -4(2m + -3) (1 * 5 + 3m * 5) = 4(5m + -2) + -4(2m + -3) (5 + 15m) = 4(5m + -2) + -4(2m + -3) Reorder the terms: 5 + 15m = 4(-2 + 5m) + -4(2m + -3) 5 + 15m = (-2 * 4 + 5m * 4) + -4(2m + -3) 5 + 15m = (-8 + 20m) + -4(2m + -3) Reorder the terms: 5 + 15m = -8 + 20m + -4(-3 + 2m) 5 + 15m = -8 + 20m + (-3 * -4 + 2m * -4) 5 + 15m = -8 + 20m + (12 + -8m) Reorder the terms: 5 + 15m = -8 + 12 + 20m + -8m Combine like terms: -8 + 12 = 4 5 + 15m = 4 + 20m + -8m Combine like terms: 20m + -8m = 12m 5 + 15m = 4 + 12m Solving 5 + 15m = 4 + 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. 5 + 15m + -12m = 4 + 12m + -12m Combine like terms: 15m + -12m = 3m 5 + 3m = 4 + 12m + -12m Combine like terms: 12m + -12m = 0 5 + 3m = 4 + 0 5 + 3m = 4 Add '-5' to each side of the equation. 5 + -5 + 3m = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 3m = 4 + -5 3m = 4 + -5 Combine like terms: 4 + -5 = -1 3m = -1 Divide each side by '3'. m = -0.3333333333 Simplifying m = -0.3333333333
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