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Simplifying -2u + 32 = 2(u + 2) Reorder the terms: 32 + -2u = 2(u + 2) Reorder the terms: 32 + -2u = 2(2 + u) 32 + -2u = (2 * 2 + u * 2) 32 + -2u = (4 + 2u) Solving 32 + -2u = 4 + 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. 32 + -2u + -2u = 4 + 2u + -2u Combine like terms: -2u + -2u = -4u 32 + -4u = 4 + 2u + -2u Combine like terms: 2u + -2u = 0 32 + -4u = 4 + 0 32 + -4u = 4 Add '-32' to each side of the equation. 32 + -32 + -4u = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -4u = 4 + -32 -4u = 4 + -32 Combine like terms: 4 + -32 = -28 -4u = -28 Divide each side by '-4'. u = 7 Simplifying u = 7
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