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Simplifying 4(u + 1) + 5 = 6(-1) + u Reorder the terms: 4(1 + u) + 5 = 6(-1) + u (1 * 4 + u * 4) + 5 = 6(-1) + u (4 + 4u) + 5 = 6(-1) + u Reorder the terms: 4 + 5 + 4u = 6(-1) + u Combine like terms: 4 + 5 = 9 9 + 4u = 6(-1) + u Multiply 6 * -1 9 + 4u = -6 + u Solving 9 + 4u = -6 + u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. 9 + 4u + -1u = -6 + u + -1u Combine like terms: 4u + -1u = 3u 9 + 3u = -6 + u + -1u Combine like terms: u + -1u = 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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