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Simplifying x + (3k + -5) * y + -7 = 0 Reorder the terms: x + (-5 + 3k) * y + -7 = 0 Reorder the terms for easier multiplication: x + y(-5 + 3k) + -7 = 0 x + (-5 * y + 3k * y) + -7 = 0 Reorder the terms: x + (3ky + -5y) + -7 = 0 x + (3ky + -5y) + -7 = 0 Reorder the terms: -7 + 3ky + x + -5y = 0 Solving -7 + 3ky + x + -5y = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 3ky + x + 7 + -5y = 0 + 7 Reorder the terms: -7 + 7 + 3ky + x + -5y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3ky + x + -5y = 0 + 7 3ky + x + -5y = 0 + 7 Combine like terms: 0 + 7 = 7 3ky + x + -5y = 7 Add '-1x' to each side of the equation. 3ky + x + -1x + -5y = 7 + -1x Combine like terms: x + -1x = 0 3ky + 0 + -5y = 7 + -1x 3ky + -5y = 7 + -1x Add '5y' to each side of the equation. 3ky + -5y + 5y = 7 + -1x + 5y Combine like terms: -5y + 5y = 0 3ky + 0 = 7 + -1x + 5y 3ky = 7 + -1x + 5y Divide each side by '3y'. k = 2.333333333y-1 + -0.3333333333xy-1 + 1.666666667 Simplifying k = 2.333333333y-1 + -0.3333333333xy-1 + 1.666666667 Reorder the terms: k = 1.666666667 + -0.3333333333xy-1 + 2.333333333y-1
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