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Simplifying 4u + 24 = 6(u + 1) Reorder the terms: 24 + 4u = 6(u + 1) Reorder the terms: 24 + 4u = 6(1 + u) 24 + 4u = (1 * 6 + u * 6) 24 + 4u = (6 + 6u) Solving 24 + 4u = 6 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 24 + 4u + -6u = 6 + 6u + -6u Combine like terms: 4u + -6u = -2u 24 + -2u = 6 + 6u + -6u Combine like terms: 6u + -6u = 0 24 + -2u = 6 + 0 24 + -2u = 6 Add '-24' to each side of the equation. 24 + -24 + -2u = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -2u = 6 + -24 -2u = 6 + -24 Combine like terms: 6 + -24 = -18 -2u = -18 Divide each side by '-2'. u = 9 Simplifying u = 9
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