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Simplifying 2u + 40 = 8(u + 2) Reorder the terms: 40 + 2u = 8(u + 2) Reorder the terms: 40 + 2u = 8(2 + u) 40 + 2u = (2 * 8 + u * 8) 40 + 2u = (16 + 8u) Solving 40 + 2u = 16 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 40 + 2u + -8u = 16 + 8u + -8u Combine like terms: 2u + -8u = -6u 40 + -6u = 16 + 8u + -8u Combine like terms: 8u + -8u = 0 40 + -6u = 16 + 0 40 + -6u = 16 Add '-40' to each side of the equation. 40 + -40 + -6u = 16 + -40 Combine like terms: 40 + -40 = 0 0 + -6u = 16 + -40 -6u = 16 + -40 Combine like terms: 16 + -40 = -24 -6u = -24 Divide each side by '-6'. u = 4 Simplifying u = 4
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