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Simplifying 32 = 2(u + -7) + 8u Reorder the terms: 32 = 2(-7 + u) + 8u 32 = (-7 * 2 + u * 2) + 8u 32 = (-14 + 2u) + 8u Combine like terms: 2u + 8u = 10u 32 = -14 + 10u Solving 32 = -14 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. 32 + -10u = -14 + 10u + -10u Combine like terms: 10u + -10u = 0 32 + -10u = -14 + 0 32 + -10u = -14 Add '-32' to each side of the equation. 32 + -32 + -10u = -14 + -32 Combine like terms: 32 + -32 = 0 0 + -10u = -14 + -32 -10u = -14 + -32 Combine like terms: -14 + -32 = -46 -10u = -46 Divide each side by '-10'. u = 4.6 Simplifying u = 4.6
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