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Simplifying x4 + y4 + w4 + -1z4 = 0 Reorder the terms: w4 + x4 + y4 + -1z4 = 0 Solving w4 + x4 + y4 + -1z4 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1x4' to each side of the equation. w4 + x4 + y4 + -1x4 + -1z4 = 0 + -1x4 Reorder the terms: w4 + x4 + -1x4 + y4 + -1z4 = 0 + -1x4 Combine like terms: x4 + -1x4 = 0 w4 + 0 + y4 + -1z4 = 0 + -1x4 w4 + y4 + -1z4 = 0 + -1x4 Remove the zero: w4 + y4 + -1z4 = -1x4 Add '-1y4' to each side of the equation. w4 + y4 + -1y4 + -1z4 = -1x4 + -1y4 Combine like terms: y4 + -1y4 = 0 w4 + 0 + -1z4 = -1x4 + -1y4 w4 + -1z4 = -1x4 + -1y4 Add 'z4' to each side of the equation. w4 + -1z4 + z4 = -1x4 + -1y4 + z4 Combine like terms: -1z4 + z4 = 0 w4 + 0 = -1x4 + -1y4 + z4 w4 = -1x4 + -1y4 + z4 Simplifying w4 = -1x4 + -1y4 + z4 Reorder the terms: w4 + x4 + y4 + -1z4 = -1x4 + x4 + -1y4 + y4 + z4 + -1z4 Combine like terms: -1x4 + x4 = 0 w4 + x4 + y4 + -1z4 = 0 + -1y4 + y4 + z4 + -1z4 w4 + x4 + y4 + -1z4 = -1y4 + y4 + z4 + -1z4 Combine like terms: -1y4 + y4 = 0 w4 + x4 + y4 + -1z4 = 0 + z4 + -1z4 w4 + x4 + y4 + -1z4 = z4 + -1z4 Combine like terms: z4 + -1z4 = 0 w4 + x4 + y4 + -1z4 = 0 The solution to this equation could not be determined.
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