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Simplifying -4(-4u + 9) + -2u = 4(u + -8) + -6 Reorder the terms: -4(9 + -4u) + -2u = 4(u + -8) + -6 (9 * -4 + -4u * -4) + -2u = 4(u + -8) + -6 (-36 + 16u) + -2u = 4(u + -8) + -6 Combine like terms: 16u + -2u = 14u -36 + 14u = 4(u + -8) + -6 Reorder the terms: -36 + 14u = 4(-8 + u) + -6 -36 + 14u = (-8 * 4 + u * 4) + -6 -36 + 14u = (-32 + 4u) + -6 Reorder the terms: -36 + 14u = -32 + -6 + 4u Combine like terms: -32 + -6 = -38 -36 + 14u = -38 + 4u Solving -36 + 14u = -38 + 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. -36 + 14u + -4u = -38 + 4u + -4u Combine like terms: 14u + -4u = 10u -36 + 10u = -38 + 4u + -4u Combine like terms: 4u + -4u = 0 -36 + 10u = -38 + 0 -36 + 10u = -38 Add '36' to each side of the equation. -36 + 36 + 10u = -38 + 36 Combine like terms: -36 + 36 = 0 0 + 10u = -38 + 36 10u = -38 + 36 Combine like terms: -38 + 36 = -2 10u = -2 Divide each side by '10'. u = -0.2 Simplifying u = -0.2
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