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Simplifying 3(12 + -1m) = -1(m + -8) (12 * 3 + -1m * 3) = -1(m + -8) (36 + -3m) = -1(m + -8) Reorder the terms: 36 + -3m = -1(-8 + m) 36 + -3m = (-8 * -1 + m * -1) 36 + -3m = (8 + -1m) Solving 36 + -3m = 8 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 36 + -3m + m = 8 + -1m + m Combine like terms: -3m + m = -2m 36 + -2m = 8 + -1m + m Combine like terms: -1m + m = 0 36 + -2m = 8 + 0 36 + -2m = 8 Add '-36' to each side of the equation. 36 + -36 + -2m = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -2m = 8 + -36 -2m = 8 + -36 Combine like terms: 8 + -36 = -28 -2m = -28 Divide each side by '-2'. m = 14 Simplifying m = 14
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