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Simplifying 3(m + 4) = 2(5m + -1) Reorder the terms: 3(4 + m) = 2(5m + -1) (4 * 3 + m * 3) = 2(5m + -1) (12 + 3m) = 2(5m + -1) Reorder the terms: 12 + 3m = 2(-1 + 5m) 12 + 3m = (-1 * 2 + 5m * 2) 12 + 3m = (-2 + 10m) Solving 12 + 3m = -2 + 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. 12 + 3m + -10m = -2 + 10m + -10m Combine like terms: 3m + -10m = -7m 12 + -7m = -2 + 10m + -10m Combine like terms: 10m + -10m = 0 12 + -7m = -2 + 0 12 + -7m = -2 Add '-12' to each side of the equation. 12 + -12 + -7m = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -7m = -2 + -12 -7m = -2 + -12 Combine like terms: -2 + -12 = -14 -7m = -14 Divide each side by '-7'. m = 2 Simplifying m = 2
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