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Simplifying -4(3u + -8) + 2u = 2(u + 8) Reorder the terms: -4(-8 + 3u) + 2u = 2(u + 8) (-8 * -4 + 3u * -4) + 2u = 2(u + 8) (32 + -12u) + 2u = 2(u + 8) Combine like terms: -12u + 2u = -10u 32 + -10u = 2(u + 8) Reorder the terms: 32 + -10u = 2(8 + u) 32 + -10u = (8 * 2 + u * 2) 32 + -10u = (16 + 2u) Solving 32 + -10u = 16 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 32 + -10u + -2u = 16 + 2u + -2u Combine like terms: -10u + -2u = -12u 32 + -12u = 16 + 2u + -2u Combine like terms: 2u + -2u = 0 32 + -12u = 16 + 0 32 + -12u = 16 Add '-32' to each side of the equation. 32 + -32 + -12u = 16 + -32 Combine like terms: 32 + -32 = 0 0 + -12u = 16 + -32 -12u = 16 + -32 Combine like terms: 16 + -32 = -16 -12u = -16 Divide each side by '-12'. u = 1.333333333 Simplifying u = 1.333333333
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