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Simplifying 18(63u + -36) = -54(5u + -222) Reorder the terms: 18(-36 + 63u) = -54(5u + -222) (-36 * 18 + 63u * 18) = -54(5u + -222) (-648 + 1134u) = -54(5u + -222) Reorder the terms: -648 + 1134u = -54(-222 + 5u) -648 + 1134u = (-222 * -54 + 5u * -54) -648 + 1134u = (11988 + -270u) Solving -648 + 1134u = 11988 + -270u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '270u' to each side of the equation. -648 + 1134u + 270u = 11988 + -270u + 270u Combine like terms: 1134u + 270u = 1404u -648 + 1404u = 11988 + -270u + 270u Combine like terms: -270u + 270u = 0 -648 + 1404u = 11988 + 0 -648 + 1404u = 11988 Add '648' to each side of the equation. -648 + 648 + 1404u = 11988 + 648 Combine like terms: -648 + 648 = 0 0 + 1404u = 11988 + 648 1404u = 11988 + 648 Combine like terms: 11988 + 648 = 12636 1404u = 12636 Divide each side by '1404'. u = 9 Simplifying u = 9
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