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Simplifying 9(u + -6) = 2u + -33 Reorder the terms: 9(-6 + u) = 2u + -33 (-6 * 9 + u * 9) = 2u + -33 (-54 + 9u) = 2u + -33 Reorder the terms: -54 + 9u = -33 + 2u Solving -54 + 9u = -33 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -54 + 9u + -2u = -33 + 2u + -2u Combine like terms: 9u + -2u = 7u -54 + 7u = -33 + 2u + -2u Combine like terms: 2u + -2u = 0 -54 + 7u = -33 + 0 -54 + 7u = -33 Add '54' to each side of the equation. -54 + 54 + 7u = -33 + 54 Combine like terms: -54 + 54 = 0 0 + 7u = -33 + 54 7u = -33 + 54 Combine like terms: -33 + 54 = 21 7u = 21 Divide each side by '7'. u = 3 Simplifying u = 3
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