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Simplifying -2(9u + -7) + 8u = 4(u + 3) Reorder the terms: -2(-7 + 9u) + 8u = 4(u + 3) (-7 * -2 + 9u * -2) + 8u = 4(u + 3) (14 + -18u) + 8u = 4(u + 3) Combine like terms: -18u + 8u = -10u 14 + -10u = 4(u + 3) Reorder the terms: 14 + -10u = 4(3 + u) 14 + -10u = (3 * 4 + u * 4) 14 + -10u = (12 + 4u) Solving 14 + -10u = 12 + 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. 14 + -10u + -4u = 12 + 4u + -4u Combine like terms: -10u + -4u = -14u 14 + -14u = 12 + 4u + -4u Combine like terms: 4u + -4u = 0 14 + -14u = 12 + 0 14 + -14u = 12 Add '-14' to each side of the equation. 14 + -14 + -14u = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -14u = 12 + -14 -14u = 12 + -14 Combine like terms: 12 + -14 = -2 -14u = -2 Divide each side by '-14'. u = 0.1428571429 Simplifying u = 0.1428571429
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