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Simplifying 4(8u + 8) = -4(20 + -12u) Reorder the terms: 4(8 + 8u) = -4(20 + -12u) (8 * 4 + 8u * 4) = -4(20 + -12u) (32 + 32u) = -4(20 + -12u) 32 + 32u = (20 * -4 + -12u * -4) 32 + 32u = (-80 + 48u) Solving 32 + 32u = -80 + 48u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-48u' to each side of the equation. 32 + 32u + -48u = -80 + 48u + -48u Combine like terms: 32u + -48u = -16u 32 + -16u = -80 + 48u + -48u Combine like terms: 48u + -48u = 0 32 + -16u = -80 + 0 32 + -16u = -80 Add '-32' to each side of the equation. 32 + -32 + -16u = -80 + -32 Combine like terms: 32 + -32 = 0 0 + -16u = -80 + -32 -16u = -80 + -32 Combine like terms: -80 + -32 = -112 -16u = -112 Divide each side by '-16'. u = 7 Simplifying u = 7
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