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Simplifying 2u + 8 = 9(u + 4) Reorder the terms: 8 + 2u = 9(u + 4) Reorder the terms: 8 + 2u = 9(4 + u) 8 + 2u = (4 * 9 + u * 9) 8 + 2u = (36 + 9u) Solving 8 + 2u = 36 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 8 + 2u + -9u = 36 + 9u + -9u Combine like terms: 2u + -9u = -7u 8 + -7u = 36 + 9u + -9u Combine like terms: 9u + -9u = 0 8 + -7u = 36 + 0 8 + -7u = 36 Add '-8' to each side of the equation. 8 + -8 + -7u = 36 + -8 Combine like terms: 8 + -8 = 0 0 + -7u = 36 + -8 -7u = 36 + -8 Combine like terms: 36 + -8 = 28 -7u = 28 Divide each side by '-7'. u = -4 Simplifying u = -4
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