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Simplifying 8(4 + -1u) = 4(u + 3) (4 * 8 + -1u * 8) = 4(u + 3) (32 + -8u) = 4(u + 3) Reorder the terms: 32 + -8u = 4(3 + u) 32 + -8u = (3 * 4 + u * 4) 32 + -8u = (12 + 4u) Solving 32 + -8u = 12 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 32 + -8u + -4u = 12 + 4u + -4u Combine like terms: -8u + -4u = -12u 32 + -12u = 12 + 4u + -4u Combine like terms: 4u + -4u = 0 32 + -12u = 12 + 0 32 + -12u = 12 Add '-32' to each side of the equation. 32 + -32 + -12u = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -12u = 12 + -32 -12u = 12 + -32 Combine like terms: 12 + -32 = -20 -12u = -20 Divide each side by '-12'. u = 1.666666667 Simplifying u = 1.666666667
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