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Simplifying -8u + -34 = 2(u + 3) Reorder the terms: -34 + -8u = 2(u + 3) Reorder the terms: -34 + -8u = 2(3 + u) -34 + -8u = (3 * 2 + u * 2) -34 + -8u = (6 + 2u) Solving -34 + -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. -34 + -8u + -2u = 6 + 2u + -2u Combine like terms: -8u + -2u = -10u -34 + -10u = 6 + 2u + -2u Combine like terms: 2u + -2u = 0 -34 + -10u = 6 + 0 -34 + -10u = 6 Add '34' to each side of the equation. -34 + 34 + -10u = 6 + 34 Combine like terms: -34 + 34 = 0 0 + -10u = 6 + 34 -10u = 6 + 34 Combine like terms: 6 + 34 = 40 -10u = 40 Divide each side by '-10'. u = -4 Simplifying u = -4
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