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Simplifying 8(u + -8) = 3u + -34 Reorder the terms: 8(-8 + u) = 3u + -34 (-8 * 8 + u * 8) = 3u + -34 (-64 + 8u) = 3u + -34 Reorder the terms: -64 + 8u = -34 + 3u Solving -64 + 8u = -34 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -64 + 8u + -3u = -34 + 3u + -3u Combine like terms: 8u + -3u = 5u -64 + 5u = -34 + 3u + -3u Combine like terms: 3u + -3u = 0 -64 + 5u = -34 + 0 -64 + 5u = -34 Add '64' to each side of the equation. -64 + 64 + 5u = -34 + 64 Combine like terms: -64 + 64 = 0 0 + 5u = -34 + 64 5u = -34 + 64 Combine like terms: -34 + 64 = 30 5u = 30 Divide each side by '5'. u = 6 Simplifying u = 6
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