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Simplifying x + 3y + -1z + -2t = 13 Reorder the terms: -2t + x + 3y + -1z = 13 Solving -2t + x + 3y + -1z = 13 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 + 3y + -1x + -1z = 13 + -1x Reorder the terms: -2t + x + -1x + 3y + -1z = 13 + -1x Combine like terms: x + -1x = 0 -2t + 0 + 3y + -1z = 13 + -1x -2t + 3y + -1z = 13 + -1x Add '-3y' to each side of the equation. -2t + 3y + -3y + -1z = 13 + -1x + -3y Combine like terms: 3y + -3y = 0 -2t + 0 + -1z = 13 + -1x + -3y -2t + -1z = 13 + -1x + -3y Add 'z' to each side of the equation. -2t + -1z + z = 13 + -1x + -3y + z Combine like terms: -1z + z = 0 -2t + 0 = 13 + -1x + -3y + z -2t = 13 + -1x + -3y + z Divide each side by '-2'. t = -6.5 + 0.5x + 1.5y + -0.5z Simplifying t = -6.5 + 0.5x + 1.5y + -0.5z
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