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Simplifying 6(u + -14) + 5(u + -18) = 2 Reorder the terms: 6(-14 + u) + 5(u + -18) = 2 (-14 * 6 + u * 6) + 5(u + -18) = 2 (-84 + 6u) + 5(u + -18) = 2 Reorder the terms: -84 + 6u + 5(-18 + u) = 2 -84 + 6u + (-18 * 5 + u * 5) = 2 -84 + 6u + (-90 + 5u) = 2 Reorder the terms: -84 + -90 + 6u + 5u = 2 Combine like terms: -84 + -90 = -174 -174 + 6u + 5u = 2 Combine like terms: 6u + 5u = 11u -174 + 11u = 2 Solving -174 + 11u = 2 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '174' to each side of the equation. -174 + 174 + 11u = 2 + 174 Combine like terms: -174 + 174 = 0 0 + 11u = 2 + 174 11u = 2 + 174 Combine like terms: 2 + 174 = 176 11u = 176 Divide each side by '11'. u = 16 Simplifying u = 16
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