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Simplifying -7(u + -9) = 9u + -33 Reorder the terms: -7(-9 + u) = 9u + -33 (-9 * -7 + u * -7) = 9u + -33 (63 + -7u) = 9u + -33 Reorder the terms: 63 + -7u = -33 + 9u Solving 63 + -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. 63 + -7u + -9u = -33 + 9u + -9u Combine like terms: -7u + -9u = -16u 63 + -16u = -33 + 9u + -9u Combine like terms: 9u + -9u = 0 63 + -16u = -33 + 0 63 + -16u = -33 Add '-63' to each side of the equation. 63 + -63 + -16u = -33 + -63 Combine like terms: 63 + -63 = 0 0 + -16u = -33 + -63 -16u = -33 + -63 Combine like terms: -33 + -63 = -96 -16u = -96 Divide each side by '-16'. u = 6 Simplifying u = 6
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