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Simplifying -6u + -33 = 9(u + 8) Reorder the terms: -33 + -6u = 9(u + 8) Reorder the terms: -33 + -6u = 9(8 + u) -33 + -6u = (8 * 9 + u * 9) -33 + -6u = (72 + 9u) Solving -33 + -6u = 72 + 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. -33 + -6u + -9u = 72 + 9u + -9u Combine like terms: -6u + -9u = -15u -33 + -15u = 72 + 9u + -9u Combine like terms: 9u + -9u = 0 -33 + -15u = 72 + 0 -33 + -15u = 72 Add '33' to each side of the equation. -33 + 33 + -15u = 72 + 33 Combine like terms: -33 + 33 = 0 0 + -15u = 72 + 33 -15u = 72 + 33 Combine like terms: 72 + 33 = 105 -15u = 105 Divide each side by '-15'. u = -7 Simplifying u = -7
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