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Simplifying -4(4u + -3) + 2u = 2(u + 9) Reorder the terms: -4(-3 + 4u) + 2u = 2(u + 9) (-3 * -4 + 4u * -4) + 2u = 2(u + 9) (12 + -16u) + 2u = 2(u + 9) Combine like terms: -16u + 2u = -14u 12 + -14u = 2(u + 9) Reorder the terms: 12 + -14u = 2(9 + u) 12 + -14u = (9 * 2 + u * 2) 12 + -14u = (18 + 2u) Solving 12 + -14u = 18 + 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. 12 + -14u + -2u = 18 + 2u + -2u Combine like terms: -14u + -2u = -16u 12 + -16u = 18 + 2u + -2u Combine like terms: 2u + -2u = 0 12 + -16u = 18 + 0 12 + -16u = 18 Add '-12' to each side of the equation. 12 + -12 + -16u = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -16u = 18 + -12 -16u = 18 + -12 Combine like terms: 18 + -12 = 6 -16u = 6 Divide each side by '-16'. u = -0.375 Simplifying u = -0.375
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