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Simplifying -6u + 42 = 8u + 28 Reorder the terms: 42 + -6u = 8u + 28 Reorder the terms: 42 + -6u = 28 + 8u Solving 42 + -6u = 28 + 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. 42 + -6u + -8u = 28 + 8u + -8u Combine like terms: -6u + -8u = -14u 42 + -14u = 28 + 8u + -8u Combine like terms: 8u + -8u = 0 42 + -14u = 28 + 0 42 + -14u = 28 Add '-42' to each side of the equation. 42 + -42 + -14u = 28 + -42 Combine like terms: 42 + -42 = 0 0 + -14u = 28 + -42 -14u = 28 + -42 Combine like terms: 28 + -42 = -14 -14u = -14 Divide each side by '-14'. u = 1 Simplifying u = 1
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