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Simplifying -2u + 40 = 2(u + 8) Reorder the terms: 40 + -2u = 2(u + 8) Reorder the terms: 40 + -2u = 2(8 + u) 40 + -2u = (8 * 2 + u * 2) 40 + -2u = (16 + 2u) Solving 40 + -2u = 16 + 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. 40 + -2u + -2u = 16 + 2u + -2u Combine like terms: -2u + -2u = -4u 40 + -4u = 16 + 2u + -2u Combine like terms: 2u + -2u = 0 40 + -4u = 16 + 0 40 + -4u = 16 Add '-40' to each side of the equation. 40 + -40 + -4u = 16 + -40 Combine like terms: 40 + -40 = 0 0 + -4u = 16 + -40 -4u = 16 + -40 Combine like terms: 16 + -40 = -24 -4u = -24 Divide each side by '-4'. u = 6 Simplifying u = 6
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