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Simplifying -32 = 8u + 8(u + -6) Reorder the terms: -32 = 8u + 8(-6 + u) -32 = 8u + (-6 * 8 + u * 8) -32 = 8u + (-48 + 8u) Reorder the terms: -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 = -16 -16u = -16 Divide each side by '-16'. u = 1 Simplifying u = 1
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