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Simplifying -31 = -8u + 3(u + -7) Reorder the terms: -31 = -8u + 3(-7 + u) -31 = -8u + (-7 * 3 + u * 3) -31 = -8u + (-21 + 3u) Reorder the terms: -31 = -21 + -8u + 3u Combine like terms: -8u + 3u = -5u -31 = -21 + -5u Solving -31 = -21 + -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 = -21 + -5u + 5u Combine like terms: -5u + 5u = 0 -31 + 5u = -21 + 0 -31 + 5u = -21 Add '31' to each side of the equation. -31 + 31 + 5u = -21 + 31 Combine like terms: -31 + 31 = 0 0 + 5u = -21 + 31 5u = -21 + 31 Combine like terms: -21 + 31 = 10 5u = 10 Divide each side by '5'. u = 2 Simplifying u = 2
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