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Simplifying x + y + z = x + y + w Reorder the terms: x + y + z = w + x + y Add '-1x' to each side of the equation. x + y + -1x + z = w + x + -1x + y Reorder the terms: x + -1x + y + z = w + x + -1x + y Combine like terms: x + -1x = 0 0 + y + z = w + x + -1x + y y + z = w + x + -1x + y Combine like terms: x + -1x = 0 y + z = w + 0 + y y + z = w + y Add '-1y' to each side of the equation. y + -1y + z = w + y + -1y Combine like terms: y + -1y = 0 0 + z = w + y + -1y z = w + y + -1y Combine like terms: y + -1y = 0 z = w + 0 z = w Solving z = w Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Simplifying z = w
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