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Simplifying 9(u + -3) = 5u + -31 Reorder the terms: 9(-3 + u) = 5u + -31 (-3 * 9 + u * 9) = 5u + -31 (-27 + 9u) = 5u + -31 Reorder the terms: -27 + 9u = -31 + 5u Solving -27 + 9u = -31 + 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. -27 + 9u + -5u = -31 + 5u + -5u Combine like terms: 9u + -5u = 4u -27 + 4u = -31 + 5u + -5u Combine like terms: 5u + -5u = 0 -27 + 4u = -31 + 0 -27 + 4u = -31 Add '27' to each side of the equation. -27 + 27 + 4u = -31 + 27 Combine like terms: -27 + 27 = 0 0 + 4u = -31 + 27 4u = -31 + 27 Combine like terms: -31 + 27 = -4 4u = -4 Divide each side by '4'. u = -1 Simplifying u = -1
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