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Simplifying 32 = 5(u + -8) + 3u Reorder the terms: 32 = 5(-8 + u) + 3u 32 = (-8 * 5 + u * 5) + 3u 32 = (-40 + 5u) + 3u Combine like terms: 5u + 3u = 8u 32 = -40 + 8u Solving 32 = -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 + -8u = -40 + 8u + -8u Combine like terms: 8u + -8u = 0 32 + -8u = -40 + 0 32 + -8u = -40 Add '-32' to each side of the equation. 32 + -32 + -8u = -40 + -32 Combine like terms: 32 + -32 = 0 0 + -8u = -40 + -32 -8u = -40 + -32 Combine like terms: -40 + -32 = -72 -8u = -72 Divide each side by '-8'. u = 9 Simplifying u = 9
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