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Simplifying 2u + 3 + 2u + 3 + 4u + -18 + 4u + -18 = 114 Reorder the terms: 3 + 3 + -18 + -18 + 2u + 2u + 4u + 4u = 114 Combine like terms: 3 + 3 = 6 6 + -18 + -18 + 2u + 2u + 4u + 4u = 114 Combine like terms: 6 + -18 = -12 -12 + -18 + 2u + 2u + 4u + 4u = 114 Combine like terms: -12 + -18 = -30 -30 + 2u + 2u + 4u + 4u = 114 Combine like terms: 2u + 2u = 4u -30 + 4u + 4u + 4u = 114 Combine like terms: 4u + 4u = 8u -30 + 8u + 4u = 114 Combine like terms: 8u + 4u = 12u -30 + 12u = 114 Solving -30 + 12u = 114 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 12u = 114 + 30 Combine like terms: -30 + 30 = 0 0 + 12u = 114 + 30 12u = 114 + 30 Combine like terms: 114 + 30 = 144 12u = 144 Divide each side by '12'. u = 12 Simplifying u = 12
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