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Simplifying 4(2m + 1) = 3(5m + -1) Reorder the terms: 4(1 + 2m) = 3(5m + -1) (1 * 4 + 2m * 4) = 3(5m + -1) (4 + 8m) = 3(5m + -1) Reorder the terms: 4 + 8m = 3(-1 + 5m) 4 + 8m = (-1 * 3 + 5m * 3) 4 + 8m = (-3 + 15m) Solving 4 + 8m = -3 + 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. 4 + 8m + -15m = -3 + 15m + -15m Combine like terms: 8m + -15m = -7m 4 + -7m = -3 + 15m + -15m Combine like terms: 15m + -15m = 0 4 + -7m = -3 + 0 4 + -7m = -3 Add '-4' to each side of the equation. 4 + -4 + -7m = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -7m = -3 + -4 -7m = -3 + -4 Combine like terms: -3 + -4 = -7 -7m = -7 Divide each side by '-7'. m = 1 Simplifying m = 1
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