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Simplifying T(7t + -3y) + -4(4x + -2y) = 0 (7t * T + -3y * T) + -4(4x + -2y) = 0 (7tT + -3yT) + -4(4x + -2y) = 0 7tT + -3yT + (4x * -4 + -2y * -4) = 0 7tT + -3yT + (-16x + 8y) = 0 Reorder the terms: 7tT + -16x + 8y + -3yT = 0 Solving 7tT + -16x + 8y + -3yT = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16x' to each side of the equation. 7tT + -16x + 8y + 16x + -3yT = 0 + 16x Reorder the terms: 7tT + -16x + 16x + 8y + -3yT = 0 + 16x Combine like terms: -16x + 16x = 0 7tT + 0 + 8y + -3yT = 0 + 16x 7tT + 8y + -3yT = 0 + 16x Remove the zero: 7tT + 8y + -3yT = 16x Add '-8y' to each side of the equation. 7tT + 8y + -8y + -3yT = 16x + -8y Combine like terms: 8y + -8y = 0 7tT + 0 + -3yT = 16x + -8y 7tT + -3yT = 16x + -8y Add '3yT' to each side of the equation. 7tT + -3yT + 3yT = 16x + -8y + 3yT Combine like terms: -3yT + 3yT = 0 7tT + 0 = 16x + -8y + 3yT 7tT = 16x + -8y + 3yT Divide each side by '7T'. t = 2.285714286xT-1 + -1.142857143yT-1 + 0.4285714286y Simplifying t = 2.285714286xT-1 + -1.142857143yT-1 + 0.4285714286y Reorder the terms: t = 2.285714286xT-1 + 0.4285714286y + -1.142857143yT-1
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