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Simplifying -2(2u + -9) + 7u = 7(u + 4) Reorder the terms: -2(-9 + 2u) + 7u = 7(u + 4) (-9 * -2 + 2u * -2) + 7u = 7(u + 4) (18 + -4u) + 7u = 7(u + 4) Combine like terms: -4u + 7u = 3u 18 + 3u = 7(u + 4) Reorder the terms: 18 + 3u = 7(4 + u) 18 + 3u = (4 * 7 + u * 7) 18 + 3u = (28 + 7u) Solving 18 + 3u = 28 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 18 + 3u + -7u = 28 + 7u + -7u Combine like terms: 3u + -7u = -4u 18 + -4u = 28 + 7u + -7u Combine like terms: 7u + -7u = 0 18 + -4u = 28 + 0 18 + -4u = 28 Add '-18' to each side of the equation. 18 + -18 + -4u = 28 + -18 Combine like terms: 18 + -18 = 0 0 + -4u = 28 + -18 -4u = 28 + -18 Combine like terms: 28 + -18 = 10 -4u = 10 Divide each side by '-4'. u = -2.5 Simplifying u = -2.5
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