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Simplifying -1(5xy + -9) + 4(3xt + 4) = 0 Reorder the terms: -1(-9 + 5xy) + 4(3xt + 4) = 0 (-9 * -1 + 5xy * -1) + 4(3xt + 4) = 0 (9 + -5xy) + 4(3xt + 4) = 0 Reorder the terms: 9 + -5xy + 4(4 + 3tx) = 0 9 + -5xy + (4 * 4 + 3tx * 4) = 0 9 + -5xy + (16 + 12tx) = 0 Reorder the terms: 9 + 16 + 12tx + -5xy = 0 Combine like terms: 9 + 16 = 25 25 + 12tx + -5xy = 0 Solving 25 + 12tx + -5xy = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + 12tx + -25 + -5xy = 0 + -25 Reorder the terms: 25 + -25 + 12tx + -5xy = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 12tx + -5xy = 0 + -25 12tx + -5xy = 0 + -25 Combine like terms: 0 + -25 = -25 12tx + -5xy = -25 Add '5xy' to each side of the equation. 12tx + -5xy + 5xy = -25 + 5xy Combine like terms: -5xy + 5xy = 0 12tx + 0 = -25 + 5xy 12tx = -25 + 5xy Divide each side by '12x'. t = -2.083333333x-1 + 0.4166666667y Simplifying t = -2.083333333x-1 + 0.4166666667y
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