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Simplifying 15 + -1(7u + -17) + 2u = 6(u + 6) + 12 Reorder the terms: 15 + -1(-17 + 7u) + 2u = 6(u + 6) + 12 15 + (-17 * -1 + 7u * -1) + 2u = 6(u + 6) + 12 15 + (17 + -7u) + 2u = 6(u + 6) + 12 Combine like terms: 15 + 17 = 32 32 + -7u + 2u = 6(u + 6) + 12 Combine like terms: -7u + 2u = -5u 32 + -5u = 6(u + 6) + 12 Reorder the terms: 32 + -5u = 6(6 + u) + 12 32 + -5u = (6 * 6 + u * 6) + 12 32 + -5u = (36 + 6u) + 12 Reorder the terms: 32 + -5u = 36 + 12 + 6u Combine like terms: 36 + 12 = 48 32 + -5u = 48 + 6u Solving 32 + -5u = 48 + 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. 32 + -5u + -6u = 48 + 6u + -6u Combine like terms: -5u + -6u = -11u 32 + -11u = 48 + 6u + -6u Combine like terms: 6u + -6u = 0 32 + -11u = 48 + 0 32 + -11u = 48 Add '-32' to each side of the equation. 32 + -32 + -11u = 48 + -32 Combine like terms: 32 + -32 = 0 0 + -11u = 48 + -32 -11u = 48 + -32 Combine like terms: 48 + -32 = 16 -11u = 16 Divide each side by '-11'. u = -1.454545455 Simplifying u = -1.454545455
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