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Simplifying (1 + -3k) * y + x + -7 = 0 Reorder the terms for easier multiplication: y(1 + -3k) + x + -7 = 0 (1 * y + -3k * y) + x + -7 = 0 Reorder the terms: (-3ky + 1y) + x + -7 = 0 (-3ky + 1y) + x + -7 = 0 Reorder the terms: -7 + -3ky + x + 1y = 0 Solving -7 + -3ky + x + 1y = 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 + 1y = 0 + 7 Reorder the terms: -7 + 7 + -3ky + x + 1y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3ky + x + 1y = 0 + 7 -3ky + x + 1y = 0 + 7 Combine like terms: 0 + 7 = 7 -3ky + x + 1y = 7 Add '-1x' to each side of the equation. -3ky + x + -1x + 1y = 7 + -1x Combine like terms: x + -1x = 0 -3ky + 0 + 1y = 7 + -1x -3ky + 1y = 7 + -1x Add '-1y' to each side of the equation. -3ky + 1y + -1y = 7 + -1x + -1y Combine like terms: 1y + -1y = 0 -3ky + 0 = 7 + -1x + -1y -3ky = 7 + -1x + -1y Divide each side by '-3y'. k = -2.333333333y-1 + 0.3333333333xy-1 + 0.3333333333 Simplifying k = -2.333333333y-1 + 0.3333333333xy-1 + 0.3333333333 Reorder the terms: k = 0.3333333333 + 0.3333333333xy-1 + -2.333333333y-1
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