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Simplifying 7x + (42 + -1k) * y = 6 Reorder the terms for easier multiplication: 7x + y(42 + -1k) = 6 7x + (42 * y + -1k * y) = 6 Reorder the terms: 7x + (-1ky + 42y) = 6 7x + (-1ky + 42y) = 6 Reorder the terms: -1ky + 7x + 42y = 6 Solving -1ky + 7x + 42y = 6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7x' to each side of the equation. -1ky + 7x + -7x + 42y = 6 + -7x Combine like terms: 7x + -7x = 0 -1ky + 0 + 42y = 6 + -7x -1ky + 42y = 6 + -7x Add '-42y' to each side of the equation. -1ky + 42y + -42y = 6 + -7x + -42y Combine like terms: 42y + -42y = 0 -1ky + 0 = 6 + -7x + -42y -1ky = 6 + -7x + -42y Divide each side by '-1y'. k = -6y-1 + 7xy-1 + 42 Simplifying k = -6y-1 + 7xy-1 + 42 Reorder the terms: k = 42 + 7xy-1 + -6y-1
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