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Simplifying 32 = 8(u + -6) + 8u Reorder the terms: 32 = 8(-6 + u) + 8u 32 = (-6 * 8 + u * 8) + 8u 32 = (-48 + 8u) + 8u Combine like terms: 8u + 8u = 16u 32 = -48 + 16u Solving 32 = -48 + 16u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16u' to each side of the equation. 32 + -16u = -48 + 16u + -16u Combine like terms: 16u + -16u = 0 32 + -16u = -48 + 0 32 + -16u = -48 Add '-32' to each side of the equation. 32 + -32 + -16u = -48 + -32 Combine like terms: 32 + -32 = 0 0 + -16u = -48 + -32 -16u = -48 + -32 Combine like terms: -48 + -32 = -80 -16u = -80 Divide each side by '-16'. u = 5 Simplifying u = 5
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