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Simplifying 7(u + 4) = 2u + 18 Reorder the terms: 7(4 + u) = 2u + 18 (4 * 7 + u * 7) = 2u + 18 (28 + 7u) = 2u + 18 Reorder the terms: 28 + 7u = 18 + 2u Solving 28 + 7u = 18 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 28 + 7u + -2u = 18 + 2u + -2u Combine like terms: 7u + -2u = 5u 28 + 5u = 18 + 2u + -2u Combine like terms: 2u + -2u = 0 28 + 5u = 18 + 0 28 + 5u = 18 Add '-28' to each side of the equation. 28 + -28 + 5u = 18 + -28 Combine like terms: 28 + -28 = 0 0 + 5u = 18 + -28 5u = 18 + -28 Combine like terms: 18 + -28 = -10 5u = -10 Divide each side by '5'. u = -2 Simplifying u = -2
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