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Simplifying 3(5m + -4) = 6m + 7 + -4(1 + -1m) Reorder the terms: 3(-4 + 5m) = 6m + 7 + -4(1 + -1m) (-4 * 3 + 5m * 3) = 6m + 7 + -4(1 + -1m) (-12 + 15m) = 6m + 7 + -4(1 + -1m) -12 + 15m = 6m + 7 + (1 * -4 + -1m * -4) -12 + 15m = 6m + 7 + (-4 + 4m) Reorder the terms: -12 + 15m = 7 + -4 + 6m + 4m Combine like terms: 7 + -4 = 3 -12 + 15m = 3 + 6m + 4m Combine like terms: 6m + 4m = 10m -12 + 15m = 3 + 10m Solving -12 + 15m = 3 + 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 + 15m + -10m = 3 + 10m + -10m Combine like terms: 15m + -10m = 5m -12 + 5m = 3 + 10m + -10m Combine like terms: 10m + -10m = 0 -12 + 5m = 3 + 0 -12 + 5m = 3 Add '12' to each side of the equation. -12 + 12 + 5m = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 5m = 3 + 12 5m = 3 + 12 Combine like terms: 3 + 12 = 15 5m = 15 Divide each side by '5'. m = 3 Simplifying m = 3
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