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Simplifying x + 5y + -1z + 2t = 2 Reorder the terms: 2t + x + 5y + -1z = 2 Solving 2t + x + 5y + -1z = 2 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. 2t + x + 5y + -1x + -1z = 2 + -1x Reorder the terms: 2t + x + -1x + 5y + -1z = 2 + -1x Combine like terms: x + -1x = 0 2t + 0 + 5y + -1z = 2 + -1x 2t + 5y + -1z = 2 + -1x Add '-5y' to each side of the equation. 2t + 5y + -5y + -1z = 2 + -1x + -5y Combine like terms: 5y + -5y = 0 2t + 0 + -1z = 2 + -1x + -5y 2t + -1z = 2 + -1x + -5y Add 'z' to each side of the equation. 2t + -1z + z = 2 + -1x + -5y + z Combine like terms: -1z + z = 0 2t + 0 = 2 + -1x + -5y + z 2t = 2 + -1x + -5y + z Divide each side by '2'. t = 1 + -0.5x + -2.5y + 0.5z Simplifying t = 1 + -0.5x + -2.5y + 0.5z
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