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Simplifying (2u + 3) + (4u + -18) = 114 Reorder the terms: (3 + 2u) + (4u + -18) = 114 Remove parenthesis around (3 + 2u) 3 + 2u + (4u + -18) = 114 Reorder the terms: 3 + 2u + (-18 + 4u) = 114 Remove parenthesis around (-18 + 4u) 3 + 2u + -18 + 4u = 114 Reorder the terms: 3 + -18 + 2u + 4u = 114 Combine like terms: 3 + -18 = -15 -15 + 2u + 4u = 114 Combine like terms: 2u + 4u = 6u -15 + 6u = 114 Solving -15 + 6u = 114 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 6u = 114 + 15 Combine like terms: -15 + 15 = 0 0 + 6u = 114 + 15 6u = 114 + 15 Combine like terms: 114 + 15 = 129 6u = 129 Divide each side by '6'. u = 21.5 Simplifying u = 21.5
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