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Simplifying 7 + 6(u + -6) + 5u = 2(5u + 12) Reorder the terms: 7 + 6(-6 + u) + 5u = 2(5u + 12) 7 + (-6 * 6 + u * 6) + 5u = 2(5u + 12) 7 + (-36 + 6u) + 5u = 2(5u + 12) Combine like terms: 7 + -36 = -29 -29 + 6u + 5u = 2(5u + 12) Combine like terms: 6u + 5u = 11u -29 + 11u = 2(5u + 12) Reorder the terms: -29 + 11u = 2(12 + 5u) -29 + 11u = (12 * 2 + 5u * 2) -29 + 11u = (24 + 10u) Solving -29 + 11u = 24 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. -29 + 11u + -10u = 24 + 10u + -10u Combine like terms: 11u + -10u = 1u -29 + 1u = 24 + 10u + -10u Combine like terms: 10u + -10u = 0 -29 + 1u = 24 + 0 -29 + 1u = 24 Add '29' to each side of the equation. -29 + 29 + 1u = 24 + 29 Combine like terms: -29 + 29 = 0 0 + 1u = 24 + 29 1u = 24 + 29 Combine like terms: 24 + 29 = 53 1u = 53 Divide each side by '1'. u = 53 Simplifying u = 53
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