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Simplifying 3(5m + -4) = 2(4 + -1m) + -3 Reorder the terms: 3(-4 + 5m) = 2(4 + -1m) + -3 (-4 * 3 + 5m * 3) = 2(4 + -1m) + -3 (-12 + 15m) = 2(4 + -1m) + -3 -12 + 15m = (4 * 2 + -1m * 2) + -3 -12 + 15m = (8 + -2m) + -3 Reorder the terms: -12 + 15m = 8 + -3 + -2m Combine like terms: 8 + -3 = 5 -12 + 15m = 5 + -2m Solving -12 + 15m = 5 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -12 + 15m + 2m = 5 + -2m + 2m Combine like terms: 15m + 2m = 17m -12 + 17m = 5 + -2m + 2m Combine like terms: -2m + 2m = 0 -12 + 17m = 5 + 0 -12 + 17m = 5 Add '12' to each side of the equation. -12 + 12 + 17m = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 17m = 5 + 12 17m = 5 + 12 Combine like terms: 5 + 12 = 17 17m = 17 Divide each side by '17'. m = 1 Simplifying m = 1
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