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Simplifying -2(9u + -2) + 4u = 9 + 2(2u + -4) Reorder the terms: -2(-2 + 9u) + 4u = 9 + 2(2u + -4) (-2 * -2 + 9u * -2) + 4u = 9 + 2(2u + -4) (4 + -18u) + 4u = 9 + 2(2u + -4) Combine like terms: -18u + 4u = -14u 4 + -14u = 9 + 2(2u + -4) Reorder the terms: 4 + -14u = 9 + 2(-4 + 2u) 4 + -14u = 9 + (-4 * 2 + 2u * 2) 4 + -14u = 9 + (-8 + 4u) Combine like terms: 9 + -8 = 1 4 + -14u = 1 + 4u Solving 4 + -14u = 1 + 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. 4 + -14u + -4u = 1 + 4u + -4u Combine like terms: -14u + -4u = -18u 4 + -18u = 1 + 4u + -4u Combine like terms: 4u + -4u = 0 4 + -18u = 1 + 0 4 + -18u = 1 Add '-4' to each side of the equation. 4 + -4 + -18u = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -18u = 1 + -4 -18u = 1 + -4 Combine like terms: 1 + -4 = -3 -18u = -3 Divide each side by '-18'. u = 0.1666666667 Simplifying u = 0.1666666667
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