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Simplifying 13(7u + -7) = 13(17u + 3) Reorder the terms: 13(-7 + 7u) = 13(17u + 3) (-7 * 13 + 7u * 13) = 13(17u + 3) (-91 + 91u) = 13(17u + 3) Reorder the terms: -91 + 91u = 13(3 + 17u) -91 + 91u = (3 * 13 + 17u * 13) -91 + 91u = (39 + 221u) Solving -91 + 91u = 39 + 221u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-221u' to each side of the equation. -91 + 91u + -221u = 39 + 221u + -221u Combine like terms: 91u + -221u = -130u -91 + -130u = 39 + 221u + -221u Combine like terms: 221u + -221u = 0 -91 + -130u = 39 + 0 -91 + -130u = 39 Add '91' to each side of the equation. -91 + 91 + -130u = 39 + 91 Combine like terms: -91 + 91 = 0 0 + -130u = 39 + 91 -130u = 39 + 91 Combine like terms: 39 + 91 = 130 -130u = 130 Divide each side by '-130'. u = -1 Simplifying u = -1
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