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Simplifying -2(8u + -5) + 2u = 2(u + 7) Reorder the terms: -2(-5 + 8u) + 2u = 2(u + 7) (-5 * -2 + 8u * -2) + 2u = 2(u + 7) (10 + -16u) + 2u = 2(u + 7) Combine like terms: -16u + 2u = -14u 10 + -14u = 2(u + 7) Reorder the terms: 10 + -14u = 2(7 + u) 10 + -14u = (7 * 2 + u * 2) 10 + -14u = (14 + 2u) Solving 10 + -14u = 14 + 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. 10 + -14u + -2u = 14 + 2u + -2u Combine like terms: -14u + -2u = -16u 10 + -16u = 14 + 2u + -2u Combine like terms: 2u + -2u = 0 10 + -16u = 14 + 0 10 + -16u = 14 Add '-10' to each side of the equation. 10 + -10 + -16u = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -16u = 14 + -10 -16u = 14 + -10 Combine like terms: 14 + -10 = 4 -16u = 4 Divide each side by '-16'. u = -0.25 Simplifying u = -0.25
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