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Simplifying -2(3u + -7) + 4u = 2(u + 2) Reorder the terms: -2(-7 + 3u) + 4u = 2(u + 2) (-7 * -2 + 3u * -2) + 4u = 2(u + 2) (14 + -6u) + 4u = 2(u + 2) Combine like terms: -6u + 4u = -2u 14 + -2u = 2(u + 2) Reorder the terms: 14 + -2u = 2(2 + u) 14 + -2u = (2 * 2 + u * 2) 14 + -2u = (4 + 2u) Solving 14 + -2u = 4 + 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. 14 + -2u + -2u = 4 + 2u + -2u Combine like terms: -2u + -2u = -4u 14 + -4u = 4 + 2u + -2u Combine like terms: 2u + -2u = 0 14 + -4u = 4 + 0 14 + -4u = 4 Add '-14' to each side of the equation. 14 + -14 + -4u = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -4u = 4 + -14 -4u = 4 + -14 Combine like terms: 4 + -14 = -10 -4u = -10 Divide each side by '-4'. u = 2.5 Simplifying u = 2.5
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