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Simplifying 4(u + 7) = -6u + -32 Reorder the terms: 4(7 + u) = -6u + -32 (7 * 4 + u * 4) = -6u + -32 (28 + 4u) = -6u + -32 Reorder the terms: 28 + 4u = -32 + -6u Solving 28 + 4u = -32 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. 28 + 4u + 6u = -32 + -6u + 6u Combine like terms: 4u + 6u = 10u 28 + 10u = -32 + -6u + 6u Combine like terms: -6u + 6u = 0 28 + 10u = -32 + 0 28 + 10u = -32 Add '-28' to each side of the equation. 28 + -28 + 10u = -32 + -28 Combine like terms: 28 + -28 = 0 0 + 10u = -32 + -28 10u = -32 + -28 Combine like terms: -32 + -28 = -60 10u = -60 Divide each side by '10'. u = -6 Simplifying u = -6
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