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Simplifying x + y + z + t = 0 Reorder the terms: t + x + y + z = 0 Solving t + x + y + z = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1x' to each side of the equation. t + x + y + -1x + z = 0 + -1x Reorder the terms: t + x + -1x + y + z = 0 + -1x Combine like terms: x + -1x = 0 t + 0 + y + z = 0 + -1x t + y + z = 0 + -1x Remove the zero: t + y + z = -1x Add '-1y' to each side of the equation. t + y + -1y + z = -1x + -1y Combine like terms: y + -1y = 0 t + 0 + z = -1x + -1y t + z = -1x + -1y Add '-1z' to each side of the equation. t + z + -1z = -1x + -1y + -1z Combine like terms: z + -1z = 0 t + 0 = -1x + -1y + -1z t = -1x + -1y + -1z Simplifying t = -1x + -1y + -1z
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