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Simplifying 2x + 3y + -4z + -1t = 0 Reorder the terms: -1t + 2x + 3y + -4z = 0 Solving -1t + 2x + 3y + -4z = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2x' to each side of the equation. -1t + 2x + 3y + -2x + -4z = 0 + -2x Reorder the terms: -1t + 2x + -2x + 3y + -4z = 0 + -2x Combine like terms: 2x + -2x = 0 -1t + 0 + 3y + -4z = 0 + -2x -1t + 3y + -4z = 0 + -2x Remove the zero: -1t + 3y + -4z = -2x Add '-3y' to each side of the equation. -1t + 3y + -3y + -4z = -2x + -3y Combine like terms: 3y + -3y = 0 -1t + 0 + -4z = -2x + -3y -1t + -4z = -2x + -3y Add '4z' to each side of the equation. -1t + -4z + 4z = -2x + -3y + 4z Combine like terms: -4z + 4z = 0 -1t + 0 = -2x + -3y + 4z -1t = -2x + -3y + 4z Divide each side by '-1'. t = 2x + 3y + -4z Simplifying t = 2x + 3y + -4z
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