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Simplifying -9u + 33 = 7(u + -9) Reorder the terms: 33 + -9u = 7(u + -9) Reorder the terms: 33 + -9u = 7(-9 + u) 33 + -9u = (-9 * 7 + u * 7) 33 + -9u = (-63 + 7u) Solving 33 + -9u = -63 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 33 + -9u + -7u = -63 + 7u + -7u Combine like terms: -9u + -7u = -16u 33 + -16u = -63 + 7u + -7u Combine like terms: 7u + -7u = 0 33 + -16u = -63 + 0 33 + -16u = -63 Add '-33' to each side of the equation. 33 + -33 + -16u = -63 + -33 Combine like terms: 33 + -33 = 0 0 + -16u = -63 + -33 -16u = -63 + -33 Combine like terms: -63 + -33 = -96 -16u = -96 Divide each side by '-16'. u = 6 Simplifying u = 6
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