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Simplifying 31 = x(1 + yt) 31 = (1 * x + ty * x) Reorder the terms: 31 = (txy + 1x) 31 = (txy + 1x) Solving 31 = txy + 1x Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1txy' to each side of the equation. 31 + -1txy = txy + -1txy + 1x Combine like terms: txy + -1txy = 0 31 + -1txy = 0 + 1x 31 + -1txy = 1x Add '-31' to each side of the equation. 31 + -31 + -1txy = -31 + 1x Combine like terms: 31 + -31 = 0 0 + -1txy = -31 + 1x -1txy = -31 + 1x Divide each side by '-1xy'. t = 31x-1y-1 + -1y-1 Simplifying t = 31x-1y-1 + -1y-1
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