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Simplifying 8u + -32 = -8(u + -6) Reorder the terms: -32 + 8u = -8(u + -6) Reorder the terms: -32 + 8u = -8(-6 + u) -32 + 8u = (-6 * -8 + u * -8) -32 + 8u = (48 + -8u) Solving -32 + 8u = 48 + -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 + 8u = 48 + -8u + 8u Combine like terms: 8u + 8u = 16u -32 + 16u = 48 + -8u + 8u Combine like terms: -8u + 8u = 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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