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Simplifying 6u + -11 = 4(u + 6) + -3 Reorder the terms: -11 + 6u = 4(u + 6) + -3 Reorder the terms: -11 + 6u = 4(6 + u) + -3 -11 + 6u = (6 * 4 + u * 4) + -3 -11 + 6u = (24 + 4u) + -3 Reorder the terms: -11 + 6u = 24 + -3 + 4u Combine like terms: 24 + -3 = 21 -11 + 6u = 21 + 4u Solving -11 + 6u = 21 + 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. -11 + 6u + -4u = 21 + 4u + -4u Combine like terms: 6u + -4u = 2u -11 + 2u = 21 + 4u + -4u Combine like terms: 4u + -4u = 0 -11 + 2u = 21 + 0 -11 + 2u = 21 Add '11' to each side of the equation. -11 + 11 + 2u = 21 + 11 Combine like terms: -11 + 11 = 0 0 + 2u = 21 + 11 2u = 21 + 11 Combine like terms: 21 + 11 = 32 2u = 32 Divide each side by '2'. u = 16 Simplifying u = 16
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