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Simplifying 8 + -1(5u + -3) + 2u = 15(u + 15) + 2 Reorder the terms: 8 + -1(-3 + 5u) + 2u = 15(u + 15) + 2 8 + (-3 * -1 + 5u * -1) + 2u = 15(u + 15) + 2 8 + (3 + -5u) + 2u = 15(u + 15) + 2 Combine like terms: 8 + 3 = 11 11 + -5u + 2u = 15(u + 15) + 2 Combine like terms: -5u + 2u = -3u 11 + -3u = 15(u + 15) + 2 Reorder the terms: 11 + -3u = 15(15 + u) + 2 11 + -3u = (15 * 15 + u * 15) + 2 11 + -3u = (225 + 15u) + 2 Reorder the terms: 11 + -3u = 225 + 2 + 15u Combine like terms: 225 + 2 = 227 11 + -3u = 227 + 15u Solving 11 + -3u = 227 + 15u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15u' to each side of the equation. 11 + -3u + -15u = 227 + 15u + -15u Combine like terms: -3u + -15u = -18u 11 + -18u = 227 + 15u + -15u Combine like terms: 15u + -15u = 0 11 + -18u = 227 + 0 11 + -18u = 227 Add '-11' to each side of the equation. 11 + -11 + -18u = 227 + -11 Combine like terms: 11 + -11 = 0 0 + -18u = 227 + -11 -18u = 227 + -11 Combine like terms: 227 + -11 = 216 -18u = 216 Divide each side by '-18'. u = -12 Simplifying u = -12
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