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Simplifying 3u + 39 = 7(u + 1) Reorder the terms: 39 + 3u = 7(u + 1) Reorder the terms: 39 + 3u = 7(1 + u) 39 + 3u = (1 * 7 + u * 7) 39 + 3u = (7 + 7u) Solving 39 + 3u = 7 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 39 + 3u + -7u = 7 + 7u + -7u Combine like terms: 3u + -7u = -4u 39 + -4u = 7 + 7u + -7u Combine like terms: 7u + -7u = 0 39 + -4u = 7 + 0 39 + -4u = 7 Add '-39' to each side of the equation. 39 + -39 + -4u = 7 + -39 Combine like terms: 39 + -39 = 0 0 + -4u = 7 + -39 -4u = 7 + -39 Combine like terms: 7 + -39 = -32 -4u = -32 Divide each side by '-4'. u = 8 Simplifying u = 8
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