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Simplifying -1(3m + -8) = 12 + -1m Reorder the terms: -1(-8 + 3m) = 12 + -1m (-8 * -1 + 3m * -1) = 12 + -1m (8 + -3m) = 12 + -1m Solving 8 + -3m = 12 + -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. 8 + -3m + m = 12 + -1m + m Combine like terms: -3m + m = -2m 8 + -2m = 12 + -1m + m Combine like terms: -1m + m = 0 8 + -2m = 12 + 0 8 + -2m = 12 Add '-8' to each side of the equation. 8 + -8 + -2m = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -2m = 12 + -8 -2m = 12 + -8 Combine like terms: 12 + -8 = 4 -2m = 4 Divide each side by '-2'. m = -2 Simplifying m = -2
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