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Simplifying 6u + -5(4u + -20) = 3u + -18 + -18 Reorder the terms: 6u + -5(-20 + 4u) = 3u + -18 + -18 6u + (-20 * -5 + 4u * -5) = 3u + -18 + -18 6u + (100 + -20u) = 3u + -18 + -18 Reorder the terms: 100 + 6u + -20u = 3u + -18 + -18 Combine like terms: 6u + -20u = -14u 100 + -14u = 3u + -18 + -18 Reorder the terms: 100 + -14u = -18 + -18 + 3u Combine like terms: -18 + -18 = -36 100 + -14u = -36 + 3u Solving 100 + -14u = -36 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 100 + -14u + -3u = -36 + 3u + -3u Combine like terms: -14u + -3u = -17u 100 + -17u = -36 + 3u + -3u Combine like terms: 3u + -3u = 0 100 + -17u = -36 + 0 100 + -17u = -36 Add '-100' to each side of the equation. 100 + -100 + -17u = -36 + -100 Combine like terms: 100 + -100 = 0 0 + -17u = -36 + -100 -17u = -36 + -100 Combine like terms: -36 + -100 = -136 -17u = -136 Divide each side by '-17'. u = 8 Simplifying u = 8
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