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Simplifying 4(u + 6) = 6u + 36 Reorder the terms: 4(6 + u) = 6u + 36 (6 * 4 + u * 4) = 6u + 36 (24 + 4u) = 6u + 36 Reorder the terms: 24 + 4u = 36 + 6u Solving 24 + 4u = 36 + 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 = 36 + 6u + -6u Combine like terms: 4u + -6u = -2u 24 + -2u = 36 + 6u + -6u Combine like terms: 6u + -6u = 0 24 + -2u = 36 + 0 24 + -2u = 36 Add '-24' to each side of the equation. 24 + -24 + -2u = 36 + -24 Combine like terms: 24 + -24 = 0 0 + -2u = 36 + -24 -2u = 36 + -24 Combine like terms: 36 + -24 = 12 -2u = 12 Divide each side by '-2'. u = -6 Simplifying u = -6
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