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Simplifying x + ky + -5 = 1 Reorder the terms: -5 + ky + x = 1 Solving -5 + ky + x = 1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + ky + 5 + x = 1 + 5 Reorder the terms: -5 + 5 + ky + x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + ky + x = 1 + 5 ky + x = 1 + 5 Combine like terms: 1 + 5 = 6 ky + x = 6 Add '-1x' to each side of the equation. ky + x + -1x = 6 + -1x Combine like terms: x + -1x = 0 ky + 0 = 6 + -1x ky = 6 + -1x Divide each side by 'y'. k = 6y-1 + -1xy-1 Simplifying k = 6y-1 + -1xy-1 Reorder the terms: k = -1xy-1 + 6y-1
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