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Simplifying -2(u + 8) = 5u + 33 Reorder the terms: -2(8 + u) = 5u + 33 (8 * -2 + u * -2) = 5u + 33 (-16 + -2u) = 5u + 33 Reorder the terms: -16 + -2u = 33 + 5u Solving -16 + -2u = 33 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -16 + -2u + -5u = 33 + 5u + -5u Combine like terms: -2u + -5u = -7u -16 + -7u = 33 + 5u + -5u Combine like terms: 5u + -5u = 0 -16 + -7u = 33 + 0 -16 + -7u = 33 Add '16' to each side of the equation. -16 + 16 + -7u = 33 + 16 Combine like terms: -16 + 16 = 0 0 + -7u = 33 + 16 -7u = 33 + 16 Combine like terms: 33 + 16 = 49 -7u = 49 Divide each side by '-7'. u = -7 Simplifying u = -7
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