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Simplifying -31 = -7u + 2(u + -3) Reorder the terms: -31 = -7u + 2(-3 + u) -31 = -7u + (-3 * 2 + u * 2) -31 = -7u + (-6 + 2u) Reorder the terms: -31 = -6 + -7u + 2u Combine like terms: -7u + 2u = -5u -31 = -6 + -5u Solving -31 = -6 + -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. -31 + 5u = -6 + -5u + 5u Combine like terms: -5u + 5u = 0 -31 + 5u = -6 + 0 -31 + 5u = -6 Add '31' to each side of the equation. -31 + 31 + 5u = -6 + 31 Combine like terms: -31 + 31 = 0 0 + 5u = -6 + 31 5u = -6 + 31 Combine like terms: -6 + 31 = 25 5u = 25 Divide each side by '5'. u = 5 Simplifying u = 5
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