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Simplifying 14 + -2u = 3u + -13(u + -6) Reorder the terms: 14 + -2u = 3u + -13(-6 + u) 14 + -2u = 3u + (-6 * -13 + u * -13) 14 + -2u = 3u + (78 + -13u) Reorder the terms: 14 + -2u = 78 + 3u + -13u Combine like terms: 3u + -13u = -10u 14 + -2u = 78 + -10u Solving 14 + -2u = 78 + -10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '10u' to each side of the equation. 14 + -2u + 10u = 78 + -10u + 10u Combine like terms: -2u + 10u = 8u 14 + 8u = 78 + -10u + 10u Combine like terms: -10u + 10u = 0 14 + 8u = 78 + 0 14 + 8u = 78 Add '-14' to each side of the equation. 14 + -14 + 8u = 78 + -14 Combine like terms: 14 + -14 = 0 0 + 8u = 78 + -14 8u = 78 + -14 Combine like terms: 78 + -14 = 64 8u = 64 Divide each side by '8'. u = 8 Simplifying u = 8
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