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Simplifying 8 = 4u + 8(u + -2) Reorder the terms: 8 = 4u + 8(-2 + u) 8 = 4u + (-2 * 8 + u * 8) 8 = 4u + (-16 + 8u) Reorder the terms: 8 = -16 + 4u + 8u Combine like terms: 4u + 8u = 12u 8 = -16 + 12u Solving 8 = -16 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. 8 + -12u = -16 + 12u + -12u Combine like terms: 12u + -12u = 0 8 + -12u = -16 + 0 8 + -12u = -16 Add '-8' to each side of the equation. 8 + -8 + -12u = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -12u = -16 + -8 -12u = -16 + -8 Combine like terms: -16 + -8 = -24 -12u = -24 Divide each side by '-12'. u = 2 Simplifying u = 2
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