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Simplifying 4(u + 9) = -2u + 6 Reorder the terms: 4(9 + u) = -2u + 6 (9 * 4 + u * 4) = -2u + 6 (36 + 4u) = -2u + 6 Reorder the terms: 36 + 4u = 6 + -2u Solving 36 + 4u = 6 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 36 + 4u + 2u = 6 + -2u + 2u Combine like terms: 4u + 2u = 6u 36 + 6u = 6 + -2u + 2u Combine like terms: -2u + 2u = 0 36 + 6u = 6 + 0 36 + 6u = 6 Add '-36' to each side of the equation. 36 + -36 + 6u = 6 + -36 Combine like terms: 36 + -36 = 0 0 + 6u = 6 + -36 6u = 6 + -36 Combine like terms: 6 + -36 = -30 6u = -30 Divide each side by '6'. u = -5 Simplifying u = -5
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