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Simplifying -33 = 5(u + -3) + -7u Reorder the terms: -33 = 5(-3 + u) + -7u -33 = (-3 * 5 + u * 5) + -7u -33 = (-15 + 5u) + -7u Combine like terms: 5u + -7u = -2u -33 = -15 + -2u Solving -33 = -15 + -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. -33 + 2u = -15 + -2u + 2u Combine like terms: -2u + 2u = 0 -33 + 2u = -15 + 0 -33 + 2u = -15 Add '33' to each side of the equation. -33 + 33 + 2u = -15 + 33 Combine like terms: -33 + 33 = 0 0 + 2u = -15 + 33 2u = -15 + 33 Combine like terms: -15 + 33 = 18 2u = 18 Divide each side by '2'. u = 9 Simplifying u = 9
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