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Simplifying 2(5 + -1u) = -3(2u + 6) (5 * 2 + -1u * 2) = -3(2u + 6) (10 + -2u) = -3(2u + 6) Reorder the terms: 10 + -2u = -3(6 + 2u) 10 + -2u = (6 * -3 + 2u * -3) 10 + -2u = (-18 + -6u) Solving 10 + -2u = -18 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. 10 + -2u + 6u = -18 + -6u + 6u Combine like terms: -2u + 6u = 4u 10 + 4u = -18 + -6u + 6u Combine like terms: -6u + 6u = 0 10 + 4u = -18 + 0 10 + 4u = -18 Add '-10' to each side of the equation. 10 + -10 + 4u = -18 + -10 Combine like terms: 10 + -10 = 0 0 + 4u = -18 + -10 4u = -18 + -10 Combine like terms: -18 + -10 = -28 4u = -28 Divide each side by '4'. u = -7 Simplifying u = -7
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