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Simplifying 32 = -4u + 7(u + 2) Reorder the terms: 32 = -4u + 7(2 + u) 32 = -4u + (2 * 7 + u * 7) 32 = -4u + (14 + 7u) Reorder the terms: 32 = 14 + -4u + 7u Combine like terms: -4u + 7u = 3u 32 = 14 + 3u Solving 32 = 14 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 32 + -3u = 14 + 3u + -3u Combine like terms: 3u + -3u = 0 32 + -3u = 14 + 0 32 + -3u = 14 Add '-32' to each side of the equation. 32 + -32 + -3u = 14 + -32 Combine like terms: 32 + -32 = 0 0 + -3u = 14 + -32 -3u = 14 + -32 Combine like terms: 14 + -32 = -18 -3u = -18 Divide each side by '-3'. u = 6 Simplifying u = 6
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