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Simplifying -3u + -34 = -8(u + -2) Reorder the terms: -34 + -3u = -8(u + -2) Reorder the terms: -34 + -3u = -8(-2 + u) -34 + -3u = (-2 * -8 + u * -8) -34 + -3u = (16 + -8u) Solving -34 + -3u = 16 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. -34 + -3u + 8u = 16 + -8u + 8u Combine like terms: -3u + 8u = 5u -34 + 5u = 16 + -8u + 8u Combine like terms: -8u + 8u = 0 -34 + 5u = 16 + 0 -34 + 5u = 16 Add '34' to each side of the equation. -34 + 34 + 5u = 16 + 34 Combine like terms: -34 + 34 = 0 0 + 5u = 16 + 34 5u = 16 + 34 Combine like terms: 16 + 34 = 50 5u = 50 Divide each side by '5'. u = 10 Simplifying u = 10
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