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Simplifying 5u + 16 = 3u + 6u + -12 Reorder the terms: 16 + 5u = 3u + 6u + -12 Reorder the terms: 16 + 5u = -12 + 3u + 6u Combine like terms: 3u + 6u = 9u 16 + 5u = -12 + 9u Solving 16 + 5u = -12 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 16 + 5u + -9u = -12 + 9u + -9u Combine like terms: 5u + -9u = -4u 16 + -4u = -12 + 9u + -9u Combine like terms: 9u + -9u = 0 16 + -4u = -12 + 0 16 + -4u = -12 Add '-16' to each side of the equation. 16 + -16 + -4u = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -4u = -12 + -16 -4u = -12 + -16 Combine like terms: -12 + -16 = -28 -4u = -28 Divide each side by '-4'. u = 7 Simplifying u = 7
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