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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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