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Simplifying -31 = 3(u + -7) + -5u Reorder the terms: -31 = 3(-7 + u) + -5u -31 = (-7 * 3 + u * 3) + -5u -31 = (-21 + 3u) + -5u Combine like terms: 3u + -5u = -2u -31 = -21 + -2u Solving -31 = -21 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. -31 + 2u = -21 + -2u + 2u Combine like terms: -2u + 2u = 0 -31 + 2u = -21 + 0 -31 + 2u = -21 Add '31' to each side of the equation. -31 + 31 + 2u = -21 + 31 Combine like terms: -31 + 31 = 0 0 + 2u = -21 + 31 2u = -21 + 31 Combine like terms: -21 + 31 = 10 2u = 10 Divide each side by '2'. u = 5 Simplifying u = 5
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