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Simplifying -20 + 2(3u + -12) = 18 + 2u + 18 Reorder the terms: -20 + 2(-12 + 3u) = 18 + 2u + 18 -20 + (-12 * 2 + 3u * 2) = 18 + 2u + 18 -20 + (-24 + 6u) = 18 + 2u + 18 Combine like terms: -20 + -24 = -44 -44 + 6u = 18 + 2u + 18 Reorder the terms: -44 + 6u = 18 + 18 + 2u Combine like terms: 18 + 18 = 36 -44 + 6u = 36 + 2u Solving -44 + 6u = 36 + 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. -44 + 6u + -2u = 36 + 2u + -2u Combine like terms: 6u + -2u = 4u -44 + 4u = 36 + 2u + -2u Combine like terms: 2u + -2u = 0 -44 + 4u = 36 + 0 -44 + 4u = 36 Add '44' to each side of the equation. -44 + 44 + 4u = 36 + 44 Combine like terms: -44 + 44 = 0 0 + 4u = 36 + 44 4u = 36 + 44 Combine like terms: 36 + 44 = 80 4u = 80 Divide each side by '4'. u = 20 Simplifying u = 20
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