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Simplifying 6u + 13 = -5(u + -7) Reorder the terms: 13 + 6u = -5(u + -7) Reorder the terms: 13 + 6u = -5(-7 + u) 13 + 6u = (-7 * -5 + u * -5) 13 + 6u = (35 + -5u) Solving 13 + 6u = 35 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. 13 + 6u + 5u = 35 + -5u + 5u Combine like terms: 6u + 5u = 11u 13 + 11u = 35 + -5u + 5u Combine like terms: -5u + 5u = 0 13 + 11u = 35 + 0 13 + 11u = 35 Add '-13' to each side of the equation. 13 + -13 + 11u = 35 + -13 Combine like terms: 13 + -13 = 0 0 + 11u = 35 + -13 11u = 35 + -13 Combine like terms: 35 + -13 = 22 11u = 22 Divide each side by '11'. u = 2 Simplifying u = 2
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