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Simplifying 3m + -4(1 + -3m) = 2m + -1(m + 1) 3m + (1 * -4 + -3m * -4) = 2m + -1(m + 1) 3m + (-4 + 12m) = 2m + -1(m + 1) Reorder the terms: -4 + 3m + 12m = 2m + -1(m + 1) Combine like terms: 3m + 12m = 15m -4 + 15m = 2m + -1(m + 1) Reorder the terms: -4 + 15m = 2m + -1(1 + m) -4 + 15m = 2m + (1 * -1 + m * -1) -4 + 15m = 2m + (-1 + -1m) Reorder the terms: -4 + 15m = -1 + 2m + -1m Combine like terms: 2m + -1m = 1m -4 + 15m = -1 + 1m Solving -4 + 15m = -1 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -4 + 15m + -1m = -1 + 1m + -1m Combine like terms: 15m + -1m = 14m -4 + 14m = -1 + 1m + -1m Combine like terms: 1m + -1m = 0 -4 + 14m = -1 + 0 -4 + 14m = -1 Add '4' to each side of the equation. -4 + 4 + 14m = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 14m = -1 + 4 14m = -1 + 4 Combine like terms: -1 + 4 = 3 14m = 3 Divide each side by '14'. m = 0.2142857143 Simplifying m = 0.2142857143
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