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Simplifying 4(u + 7) = 2u + 32 Reorder the terms: 4(7 + u) = 2u + 32 (7 * 4 + u * 4) = 2u + 32 (28 + 4u) = 2u + 32 Reorder the terms: 28 + 4u = 32 + 2u Solving 28 + 4u = 32 + 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 + 4u + -2u = 32 + 2u + -2u Combine like terms: 4u + -2u = 2u 28 + 2u = 32 + 2u + -2u Combine like terms: 2u + -2u = 0 28 + 2u = 32 + 0 28 + 2u = 32 Add '-28' to each side of the equation. 28 + -28 + 2u = 32 + -28 Combine like terms: 28 + -28 = 0 0 + 2u = 32 + -28 2u = 32 + -28 Combine like terms: 32 + -28 = 4 2u = 4 Divide each side by '2'. u = 2 Simplifying u = 2
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