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Simplifying 16 + -2(u + 9) = 6u + 40 Reorder the terms: 16 + -2(9 + u) = 6u + 40 16 + (9 * -2 + u * -2) = 6u + 40 16 + (-18 + -2u) = 6u + 40 Combine like terms: 16 + -18 = -2 -2 + -2u = 6u + 40 Reorder the terms: -2 + -2u = 40 + 6u Solving -2 + -2u = 40 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -2 + -2u + -6u = 40 + 6u + -6u Combine like terms: -2u + -6u = -8u -2 + -8u = 40 + 6u + -6u Combine like terms: 6u + -6u = 0 -2 + -8u = 40 + 0 -2 + -8u = 40 Add '2' to each side of the equation. -2 + 2 + -8u = 40 + 2 Combine like terms: -2 + 2 = 0 0 + -8u = 40 + 2 -8u = 40 + 2 Combine like terms: 40 + 2 = 42 -8u = 42 Divide each side by '-8'. u = -5.25 Simplifying u = -5.25
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