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Simplifying 8(u + -6) = -8u + 32 Reorder the terms: 8(-6 + u) = -8u + 32 (-6 * 8 + u * 8) = -8u + 32 (-48 + 8u) = -8u + 32 Reorder the terms: -48 + 8u = 32 + -8u Solving -48 + 8u = 32 + -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. -48 + 8u + 8u = 32 + -8u + 8u Combine like terms: 8u + 8u = 16u -48 + 16u = 32 + -8u + 8u Combine like terms: -8u + 8u = 0 -48 + 16u = 32 + 0 -48 + 16u = 32 Add '48' to each side of the equation. -48 + 48 + 16u = 32 + 48 Combine like terms: -48 + 48 = 0 0 + 16u = 32 + 48 16u = 32 + 48 Combine like terms: 32 + 48 = 80 16u = 80 Divide each side by '16'. u = 5 Simplifying u = 5
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