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Simplifying 4(u + 1) + 5 = 6(u + -1) + u Reorder the terms: 4(1 + u) + 5 = 6(u + -1) + u (1 * 4 + u * 4) + 5 = 6(u + -1) + u (4 + 4u) + 5 = 6(u + -1) + u Reorder the terms: 4 + 5 + 4u = 6(u + -1) + u Combine like terms: 4 + 5 = 9 9 + 4u = 6(u + -1) + u Reorder the terms: 9 + 4u = 6(-1 + u) + u 9 + 4u = (-1 * 6 + u * 6) + u 9 + 4u = (-6 + 6u) + u Combine like terms: 6u + u = 7u 9 + 4u = -6 + 7u Solving 9 + 4u = -6 + 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. 9 + 4u + -7u = -6 + 7u + -7u Combine like terms: 4u + -7u = -3u 9 + -3u = -6 + 7u + -7u Combine like terms: 7u + -7u = 0 9 + -3u = -6 + 0 9 + -3u = -6 Add '-9' to each side of the equation. 9 + -9 + -3u = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -3u = -6 + -9 -3u = -6 + -9 Combine like terms: -6 + -9 = -15 -3u = -15 Divide each side by '-3'. u = 5 Simplifying u = 5
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