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Simplifying -7(u + -3) = -9u + 33 Reorder the terms: -7(-3 + u) = -9u + 33 (-3 * -7 + u * -7) = -9u + 33 (21 + -7u) = -9u + 33 Reorder the terms: 21 + -7u = 33 + -9u Solving 21 + -7u = 33 + -9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '9u' to each side of the equation. 21 + -7u + 9u = 33 + -9u + 9u Combine like terms: -7u + 9u = 2u 21 + 2u = 33 + -9u + 9u Combine like terms: -9u + 9u = 0 21 + 2u = 33 + 0 21 + 2u = 33 Add '-21' to each side of the equation. 21 + -21 + 2u = 33 + -21 Combine like terms: 21 + -21 = 0 0 + 2u = 33 + -21 2u = 33 + -21 Combine like terms: 33 + -21 = 12 2u = 12 Divide each side by '2'. u = 6 Simplifying u = 6
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