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Simplifying x + 7y + 3u + 5z = 2x + 6y + 4u + 8z Reorder the terms: 3u + x + 7y + 5z = 2x + 6y + 4u + 8z Reorder the terms: 3u + x + 7y + 5z = 4u + 2x + 6y + 8z Solving 3u + x + 7y + 5z = 4u + 2x + 6y + 8z Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 3u + x + 7y + -4u + 5z = 4u + 2x + 6y + -4u + 8z Reorder the terms: 3u + -4u + x + 7y + 5z = 4u + 2x + 6y + -4u + 8z Combine like terms: 3u + -4u = -1u -1u + x + 7y + 5z = 4u + 2x + 6y + -4u + 8z Reorder the terms: -1u + x + 7y + 5z = 4u + -4u + 2x + 6y + 8z Combine like terms: 4u + -4u = 0 -1u + x + 7y + 5z = 0 + 2x + 6y + 8z -1u + x + 7y + 5z = 2x + 6y + 8z Add '-1x' to each side of the equation. -1u + x + 7y + -1x + 5z = 2x + 6y + -1x + 8z Reorder the terms: -1u + x + -1x + 7y + 5z = 2x + 6y + -1x + 8z Combine like terms: x + -1x = 0 -1u + 0 + 7y + 5z = 2x + 6y + -1x + 8z -1u + 7y + 5z = 2x + 6y + -1x + 8z Reorder the terms: -1u + 7y + 5z = 2x + -1x + 6y + 8z Combine like terms: 2x + -1x = 1x -1u + 7y + 5z = 1x + 6y + 8z Add '-7y' to each side of the equation. -1u + 7y + -7y + 5z = 1x + 6y + -7y + 8z Combine like terms: 7y + -7y = 0 -1u + 0 + 5z = 1x + 6y + -7y + 8z -1u + 5z = 1x + 6y + -7y + 8z Combine like terms: 6y + -7y = -1y -1u + 5z = 1x + -1y + 8z Add '-5z' to each side of the equation. -1u + 5z + -5z = 1x + -1y + 8z + -5z Combine like terms: 5z + -5z = 0 -1u + 0 = 1x + -1y + 8z + -5z -1u = 1x + -1y + 8z + -5z Combine like terms: 8z + -5z = 3z -1u = 1x + -1y + 3z Divide each side by '-1'. u = -1x + y + -3z Simplifying u = -1x + y + -3z
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