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