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Simplifying 9 + 21(u + -11) + 10u = 3(10u + 7) Reorder the terms: 9 + 21(-11 + u) + 10u = 3(10u + 7) 9 + (-11 * 21 + u * 21) + 10u = 3(10u + 7) 9 + (-231 + 21u) + 10u = 3(10u + 7) Combine like terms: 9 + -231 = -222 -222 + 21u + 10u = 3(10u + 7) Combine like terms: 21u + 10u = 31u -222 + 31u = 3(10u + 7) Reorder the terms: -222 + 31u = 3(7 + 10u) -222 + 31u = (7 * 3 + 10u * 3) -222 + 31u = (21 + 30u) Solving -222 + 31u = 21 + 30u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-30u' to each side of the equation. -222 + 31u + -30u = 21 + 30u + -30u Combine like terms: 31u + -30u = 1u -222 + 1u = 21 + 30u + -30u Combine like terms: 30u + -30u = 0 -222 + 1u = 21 + 0 -222 + 1u = 21 Add '222' to each side of the equation. -222 + 222 + 1u = 21 + 222 Combine like terms: -222 + 222 = 0 0 + 1u = 21 + 222 1u = 21 + 222 Combine like terms: 21 + 222 = 243 1u = 243 Divide each side by '1'. u = 243 Simplifying u = 243
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