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Simplifying 6(1 + 3m) = -8(2u + -1d) (1 * 6 + 3m * 6) = -8(2u + -1d) (6 + 18m) = -8(2u + -1d) Reorder the terms: 6 + 18m = -8(-1d + 2u) 6 + 18m = (-1d * -8 + 2u * -8) 6 + 18m = (8d + -16u) Solving 6 + 18m = 8d + -16u Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 18m = 8d + -6 + -16u Combine like terms: 6 + -6 = 0 0 + 18m = 8d + -6 + -16u 18m = 8d + -6 + -16u Reorder the terms: 18m = -6 + 8d + -16u Divide each side by '18'. m = -0.3333333333 + 0.4444444444d + -0.8888888889u Simplifying m = -0.3333333333 + 0.4444444444d + -0.8888888889u
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