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Simplifying -6u + 32 = -8(u + -5) Reorder the terms: 32 + -6u = -8(u + -5) Reorder the terms: 32 + -6u = -8(-5 + u) 32 + -6u = (-5 * -8 + u * -8) 32 + -6u = (40 + -8u) Solving 32 + -6u = 40 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. 32 + -6u + 8u = 40 + -8u + 8u Combine like terms: -6u + 8u = 2u 32 + 2u = 40 + -8u + 8u Combine like terms: -8u + 8u = 0 32 + 2u = 40 + 0 32 + 2u = 40 Add '-32' to each side of the equation. 32 + -32 + 2u = 40 + -32 Combine like terms: 32 + -32 = 0 0 + 2u = 40 + -32 2u = 40 + -32 Combine like terms: 40 + -32 = 8 2u = 8 Divide each side by '2'. u = 4 Simplifying u = 4
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