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Simplifying 4(u + 9) = 6u + 40 Reorder the terms: 4(9 + u) = 6u + 40 (9 * 4 + u * 4) = 6u + 40 (36 + 4u) = 6u + 40 Reorder the terms: 36 + 4u = 40 + 6u Solving 36 + 4u = 40 + 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. 36 + 4u + -6u = 40 + 6u + -6u Combine like terms: 4u + -6u = -2u 36 + -2u = 40 + 6u + -6u Combine like terms: 6u + -6u = 0 36 + -2u = 40 + 0 36 + -2u = 40 Add '-36' to each side of the equation. 36 + -36 + -2u = 40 + -36 Combine like terms: 36 + -36 = 0 0 + -2u = 40 + -36 -2u = 40 + -36 Combine like terms: 40 + -36 = 4 -2u = 4 Divide each side by '-2'. u = -2 Simplifying u = -2
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