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Simplifying -18 = 7(u + 6) + 8u Reorder the terms: -18 = 7(6 + u) + 8u -18 = (6 * 7 + u * 7) + 8u -18 = (42 + 7u) + 8u Combine like terms: 7u + 8u = 15u -18 = 42 + 15u Solving -18 = 42 + 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. -18 + -15u = 42 + 15u + -15u Combine like terms: 15u + -15u = 0 -18 + -15u = 42 + 0 -18 + -15u = 42 Add '18' to each side of the equation. -18 + 18 + -15u = 42 + 18 Combine like terms: -18 + 18 = 0 0 + -15u = 42 + 18 -15u = 42 + 18 Combine like terms: 42 + 18 = 60 -15u = 60 Divide each side by '-15'. u = -4 Simplifying u = -4
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