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Simplifying 3(3 + -1m) + -1(-2)(m + -4) = -1(3m + -2) (3 * 3 + -1m * 3) + -1(-2)(m + -4) = -1(3m + -2) (9 + -3m) + -1(-2)(m + -4) = -1(3m + -2) Reorder the terms: 9 + -3m + -1 * -2(-4 + m) = -1(3m + -2) Multiply -1 * -2 9 + -3m + 2(-4 + m) = -1(3m + -2) 9 + -3m + (-4 * 2 + m * 2) = -1(3m + -2) 9 + -3m + (-8 + 2m) = -1(3m + -2) Reorder the terms: 9 + -8 + -3m + 2m = -1(3m + -2) Combine like terms: 9 + -8 = 1 1 + -3m + 2m = -1(3m + -2) Combine like terms: -3m + 2m = -1m 1 + -1m = -1(3m + -2) Reorder the terms: 1 + -1m = -1(-2 + 3m) 1 + -1m = (-2 * -1 + 3m * -1) 1 + -1m = (2 + -3m) Solving 1 + -1m = 2 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 1 + -1m + 3m = 2 + -3m + 3m Combine like terms: -1m + 3m = 2m 1 + 2m = 2 + -3m + 3m Combine like terms: -3m + 3m = 0 1 + 2m = 2 + 0 1 + 2m = 2 Add '-1' to each side of the equation. 1 + -1 + 2m = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 2 + -1 2m = 2 + -1 Combine like terms: 2 + -1 = 1 2m = 1 Divide each side by '2'. m = 0.5 Simplifying m = 0.5
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