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Simplifying 5(u + 3) = 6(u + 3) Reorder the terms: 5(3 + u) = 6(u + 3) (3 * 5 + u * 5) = 6(u + 3) (15 + 5u) = 6(u + 3) Reorder the terms: 15 + 5u = 6(3 + u) 15 + 5u = (3 * 6 + u * 6) 15 + 5u = (18 + 6u) Solving 15 + 5u = 18 + 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. 15 + 5u + -6u = 18 + 6u + -6u Combine like terms: 5u + -6u = -1u 15 + -1u = 18 + 6u + -6u Combine like terms: 6u + -6u = 0 15 + -1u = 18 + 0 15 + -1u = 18 Add '-15' to each side of the equation. 15 + -15 + -1u = 18 + -15 Combine like terms: 15 + -15 = 0 0 + -1u = 18 + -15 -1u = 18 + -15 Combine like terms: 18 + -15 = 3 -1u = 3 Divide each side by '-1'. u = -3 Simplifying u = -3
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