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Simplifying 5u + -13 = 3(u + -3) Reorder the terms: -13 + 5u = 3(u + -3) Reorder the terms: -13 + 5u = 3(-3 + u) -13 + 5u = (-3 * 3 + u * 3) -13 + 5u = (-9 + 3u) Solving -13 + 5u = -9 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -13 + 5u + -3u = -9 + 3u + -3u Combine like terms: 5u + -3u = 2u -13 + 2u = -9 + 3u + -3u Combine like terms: 3u + -3u = 0 -13 + 2u = -9 + 0 -13 + 2u = -9 Add '13' to each side of the equation. -13 + 13 + 2u = -9 + 13 Combine like terms: -13 + 13 = 0 0 + 2u = -9 + 13 2u = -9 + 13 Combine like terms: -9 + 13 = 4 2u = 4 Divide each side by '2'. u = 2 Simplifying u = 2
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