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Simplifying 10 + -1(20u + -7) + 6u = 6(u + 11) + 15 Reorder the terms: 10 + -1(-7 + 20u) + 6u = 6(u + 11) + 15 10 + (-7 * -1 + 20u * -1) + 6u = 6(u + 11) + 15 10 + (7 + -20u) + 6u = 6(u + 11) + 15 Combine like terms: 10 + 7 = 17 17 + -20u + 6u = 6(u + 11) + 15 Combine like terms: -20u + 6u = -14u 17 + -14u = 6(u + 11) + 15 Reorder the terms: 17 + -14u = 6(11 + u) + 15 17 + -14u = (11 * 6 + u * 6) + 15 17 + -14u = (66 + 6u) + 15 Reorder the terms: 17 + -14u = 66 + 15 + 6u Combine like terms: 66 + 15 = 81 17 + -14u = 81 + 6u Solving 17 + -14u = 81 + 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. 17 + -14u + -6u = 81 + 6u + -6u Combine like terms: -14u + -6u = -20u 17 + -20u = 81 + 6u + -6u Combine like terms: 6u + -6u = 0 17 + -20u = 81 + 0 17 + -20u = 81 Add '-17' to each side of the equation. 17 + -17 + -20u = 81 + -17 Combine like terms: 17 + -17 = 0 0 + -20u = 81 + -17 -20u = 81 + -17 Combine like terms: 81 + -17 = 64 -20u = 64 Divide each side by '-20'. u = -3.2 Simplifying u = -3.2
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