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Simplifying xy + xz + xt + yz + yt + zt = 1 Reorder the terms: tx + ty + tz + xy + xz + yz = 1 Solving tx + ty + tz + xy + xz + yz = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1xy' to each side of the equation. tx + ty + tz + xy + xz + -1xy + yz = 1 + -1xy Reorder the terms: tx + ty + tz + xy + -1xy + xz + yz = 1 + -1xy Combine like terms: xy + -1xy = 0 tx + ty + tz + 0 + xz + yz = 1 + -1xy tx + ty + tz + xz + yz = 1 + -1xy Add '-1xz' to each side of the equation. tx + ty + tz + xz + -1xz + yz = 1 + -1xy + -1xz Combine like terms: xz + -1xz = 0 tx + ty + tz + 0 + yz = 1 + -1xy + -1xz tx + ty + tz + yz = 1 + -1xy + -1xz Add '-1yz' to each side of the equation. tx + ty + tz + yz + -1yz = 1 + -1xy + -1xz + -1yz Combine like terms: yz + -1yz = 0 tx + ty + tz + 0 = 1 + -1xy + -1xz + -1yz tx + ty + tz = 1 + -1xy + -1xz + -1yz Reorder the terms: -1 + tx + ty + tz + xy + xz + yz = 1 + -1xy + -1xz + -1yz + -1 + xy + xz + yz Reorder the terms: -1 + tx + ty + tz + xy + xz + yz = 1 + -1 + -1xy + xy + -1xz + xz + -1yz + yz Combine like terms: 1 + -1 = 0 -1 + tx + ty + tz + xy + xz + yz = 0 + -1xy + xy + -1xz + xz + -1yz + yz -1 + tx + ty + tz + xy + xz + yz = -1xy + xy + -1xz + xz + -1yz + yz Combine like terms: -1xy + xy = 0 -1 + tx + ty + tz + xy + xz + yz = 0 + -1xz + xz + -1yz + yz -1 + tx + ty + tz + xy + xz + yz = -1xz + xz + -1yz + yz Combine like terms: -1xz + xz = 0 -1 + tx + ty + tz + xy + xz + yz = 0 + -1yz + yz -1 + tx + ty + tz + xy + xz + yz = -1yz + yz Combine like terms: -1yz + yz = 0 -1 + tx + ty + tz + xy + xz + yz = 0 The solution to this equation could not be determined.
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