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Simplifying 20 + 6(-3u + 20) = -7u + 12 + 18 Reorder the terms: 20 + 6(20 + -3u) = -7u + 12 + 18 20 + (20 * 6 + -3u * 6) = -7u + 12 + 18 20 + (120 + -18u) = -7u + 12 + 18 Combine like terms: 20 + 120 = 140 140 + -18u = -7u + 12 + 18 Reorder the terms: 140 + -18u = 12 + 18 + -7u Combine like terms: 12 + 18 = 30 140 + -18u = 30 + -7u Solving 140 + -18u = 30 + -7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7u' to each side of the equation. 140 + -18u + 7u = 30 + -7u + 7u Combine like terms: -18u + 7u = -11u 140 + -11u = 30 + -7u + 7u Combine like terms: -7u + 7u = 0 140 + -11u = 30 + 0 140 + -11u = 30 Add '-140' to each side of the equation. 140 + -140 + -11u = 30 + -140 Combine like terms: 140 + -140 = 0 0 + -11u = 30 + -140 -11u = 30 + -140 Combine like terms: 30 + -140 = -110 -11u = -110 Divide each side by '-11'. u = 10 Simplifying u = 10
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