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Simplifying 180 = (u + -18) + (u + -18) + (2u + -12) Reorder the terms: 180 = (-18 + u) + (u + -18) + (2u + -12) Remove parenthesis around (-18 + u) 180 = -18 + u + (u + -18) + (2u + -12) Reorder the terms: 180 = -18 + u + (-18 + u) + (2u + -12) Remove parenthesis around (-18 + u) 180 = -18 + u + -18 + u + (2u + -12) Reorder the terms: 180 = -18 + u + -18 + u + (-12 + 2u) Remove parenthesis around (-12 + 2u) 180 = -18 + u + -18 + u + -12 + 2u Reorder the terms: 180 = -18 + -18 + -12 + u + u + 2u Combine like terms: -18 + -18 = -36 180 = -36 + -12 + u + u + 2u Combine like terms: -36 + -12 = -48 180 = -48 + u + u + 2u Combine like terms: u + u = 2u 180 = -48 + 2u + 2u Combine like terms: 2u + 2u = 4u 180 = -48 + 4u Solving 180 = -48 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 180 + -4u = -48 + 4u + -4u Combine like terms: 4u + -4u = 0 180 + -4u = -48 + 0 180 + -4u = -48 Add '-180' to each side of the equation. 180 + -180 + -4u = -48 + -180 Combine like terms: 180 + -180 = 0 0 + -4u = -48 + -180 -4u = -48 + -180 Combine like terms: -48 + -180 = -228 -4u = -228 Divide each side by '-4'. u = 57 Simplifying u = 57
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