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Simplifying 2u + 32 = 6(u + 6) Reorder the terms: 32 + 2u = 6(u + 6) Reorder the terms: 32 + 2u = 6(6 + u) 32 + 2u = (6 * 6 + u * 6) 32 + 2u = (36 + 6u) Solving 32 + 2u = 36 + 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. 32 + 2u + -6u = 36 + 6u + -6u Combine like terms: 2u + -6u = -4u 32 + -4u = 36 + 6u + -6u Combine like terms: 6u + -6u = 0 32 + -4u = 36 + 0 32 + -4u = 36 Add '-32' to each side of the equation. 32 + -32 + -4u = 36 + -32 Combine like terms: 32 + -32 = 0 0 + -4u = 36 + -32 -4u = 36 + -32 Combine like terms: 36 + -32 = 4 -4u = 4 Divide each side by '-4'. u = -1 Simplifying u = -1
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