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Simplifying 6u + -32 = -5(u + -9) Reorder the terms: -32 + 6u = -5(u + -9) Reorder the terms: -32 + 6u = -5(-9 + u) -32 + 6u = (-9 * -5 + u * -5) -32 + 6u = (45 + -5u) Solving -32 + 6u = 45 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. -32 + 6u + 5u = 45 + -5u + 5u Combine like terms: 6u + 5u = 11u -32 + 11u = 45 + -5u + 5u Combine like terms: -5u + 5u = 0 -32 + 11u = 45 + 0 -32 + 11u = 45 Add '32' to each side of the equation. -32 + 32 + 11u = 45 + 32 Combine like terms: -32 + 32 = 0 0 + 11u = 45 + 32 11u = 45 + 32 Combine like terms: 45 + 32 = 77 11u = 77 Divide each side by '11'. u = 7 Simplifying u = 7
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