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Simplifying -8u + 30 = -2(u + 3) Reorder the terms: 30 + -8u = -2(u + 3) Reorder the terms: 30 + -8u = -2(3 + u) 30 + -8u = (3 * -2 + u * -2) 30 + -8u = (-6 + -2u) Solving 30 + -8u = -6 + -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. 30 + -8u + 2u = -6 + -2u + 2u Combine like terms: -8u + 2u = -6u 30 + -6u = -6 + -2u + 2u Combine like terms: -2u + 2u = 0 30 + -6u = -6 + 0 30 + -6u = -6 Add '-30' to each side of the equation. 30 + -30 + -6u = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -6u = -6 + -30 -6u = -6 + -30 Combine like terms: -6 + -30 = -36 -6u = -36 Divide each side by '-6'. u = 6 Simplifying u = 6
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