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Simplifying -31 = -7u + 2(u + -8) Reorder the terms: -31 = -7u + 2(-8 + u) -31 = -7u + (-8 * 2 + u * 2) -31 = -7u + (-16 + 2u) Reorder the terms: -31 = -16 + -7u + 2u Combine like terms: -7u + 2u = -5u -31 = -16 + -5u Solving -31 = -16 + -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 = -16 + -5u + 5u Combine like terms: -5u + 5u = 0 -31 + 5u = -16 + 0 -31 + 5u = -16 Add '31' to each side of the equation. -31 + 31 + 5u = -16 + 31 Combine like terms: -31 + 31 = 0 0 + 5u = -16 + 31 5u = -16 + 31 Combine like terms: -16 + 31 = 15 5u = 15 Divide each side by '5'. u = 3 Simplifying u = 3
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