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Simplifying -31 = (u + -7) + -5u Reorder the terms: -31 = (-7 + u) + -5u Remove parenthesis around (-7 + u) -31 = -7 + u + -5u Combine like terms: u + -5u = -4u -31 = -7 + -4u Solving -31 = -7 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. -31 + 4u = -7 + -4u + 4u Combine like terms: -4u + 4u = 0 -31 + 4u = -7 + 0 -31 + 4u = -7 Add '31' to each side of the equation. -31 + 31 + 4u = -7 + 31 Combine like terms: -31 + 31 = 0 0 + 4u = -7 + 31 4u = -7 + 31 Combine like terms: -7 + 31 = 24 4u = 24 Divide each side by '4'. u = 6 Simplifying u = 6
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