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Simplifying 4m + -3(2m + 1) = 3m + -4(5m + 7) Reorder the terms: 4m + -3(1 + 2m) = 3m + -4(5m + 7) 4m + (1 * -3 + 2m * -3) = 3m + -4(5m + 7) 4m + (-3 + -6m) = 3m + -4(5m + 7) Reorder the terms: -3 + 4m + -6m = 3m + -4(5m + 7) Combine like terms: 4m + -6m = -2m -3 + -2m = 3m + -4(5m + 7) Reorder the terms: -3 + -2m = 3m + -4(7 + 5m) -3 + -2m = 3m + (7 * -4 + 5m * -4) -3 + -2m = 3m + (-28 + -20m) Reorder the terms: -3 + -2m = -28 + 3m + -20m Combine like terms: 3m + -20m = -17m -3 + -2m = -28 + -17m Solving -3 + -2m = -28 + -17m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '17m' to each side of the equation. -3 + -2m + 17m = -28 + -17m + 17m Combine like terms: -2m + 17m = 15m -3 + 15m = -28 + -17m + 17m Combine like terms: -17m + 17m = 0 -3 + 15m = -28 + 0 -3 + 15m = -28 Add '3' to each side of the equation. -3 + 3 + 15m = -28 + 3 Combine like terms: -3 + 3 = 0 0 + 15m = -28 + 3 15m = -28 + 3 Combine like terms: -28 + 3 = -25 15m = -25 Divide each side by '15'. m = -1.666666667 Simplifying m = -1.666666667
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