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Simplifying 5(u + -5) + -7u = -31 Reorder the terms: 5(-5 + u) + -7u = -31 (-5 * 5 + u * 5) + -7u = -31 (-25 + 5u) + -7u = -31 Combine like terms: 5u + -7u = -2u -25 + -2u = -31 Solving -25 + -2u = -31 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -2u = -31 + 25 Combine like terms: -25 + 25 = 0 0 + -2u = -31 + 25 -2u = -31 + 25 Combine like terms: -31 + 25 = -6 -2u = -6 Divide each side by '-2'. u = 3 Simplifying u = 3
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