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Simplifying 12m + 3(m + -1) = -2(m + 1) + 12 Reorder the terms: 12m + 3(-1 + m) = -2(m + 1) + 12 12m + (-1 * 3 + m * 3) = -2(m + 1) + 12 12m + (-3 + 3m) = -2(m + 1) + 12 Reorder the terms: -3 + 12m + 3m = -2(m + 1) + 12 Combine like terms: 12m + 3m = 15m -3 + 15m = -2(m + 1) + 12 Reorder the terms: -3 + 15m = -2(1 + m) + 12 -3 + 15m = (1 * -2 + m * -2) + 12 -3 + 15m = (-2 + -2m) + 12 Reorder the terms: -3 + 15m = -2 + 12 + -2m Combine like terms: -2 + 12 = 10 -3 + 15m = 10 + -2m Solving -3 + 15m = 10 + -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. -3 + 15m + 2m = 10 + -2m + 2m Combine like terms: 15m + 2m = 17m -3 + 17m = 10 + -2m + 2m Combine like terms: -2m + 2m = 0 -3 + 17m = 10 + 0 -3 + 17m = 10 Add '3' to each side of the equation. -3 + 3 + 17m = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 17m = 10 + 3 17m = 10 + 3 Combine like terms: 10 + 3 = 13 17m = 13 Divide each side by '17'. m = 0.7647058824 Simplifying m = 0.7647058824
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