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Simplifying 2(u + 3) + -1(8u) = 18 Reorder the terms: 2(3 + u) + -1(8u) = 18 (3 * 2 + u * 2) + -1(8u) = 18 (6 + 2u) + -1(8u) = 18 Remove parenthesis around (8u) 6 + 2u + -1 * 8u = 18 Multiply -1 * 8 6 + 2u + -8u = 18 Combine like terms: 2u + -8u = -6u 6 + -6u = 18 Solving 6 + -6u = 18 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -6u = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -6u = 18 + -6 -6u = 18 + -6 Combine like terms: 18 + -6 = 12 -6u = 12 Divide each side by '-6'. u = -2 Simplifying u = -2
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