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Simplifying 9(6x + ky) = 1(2x + -7y) Reorder the terms: 9(ky + 6x) = 1(2x + -7y) (ky * 9 + 6x * 9) = 1(2x + -7y) (9ky + 54x) = 1(2x + -7y) 9ky + 54x = (2x * 1 + -7y * 1) 9ky + 54x = (2x + -7y) Solving 9ky + 54x = 2x + -7y Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-54x' to each side of the equation. 9ky + 54x + -54x = 2x + -54x + -7y Combine like terms: 54x + -54x = 0 9ky + 0 = 2x + -54x + -7y 9ky = 2x + -54x + -7y Combine like terms: 2x + -54x = -52x 9ky = -52x + -7y Divide each side by '9y'. k = -5.777777778xy-1 + -0.7777777778 Simplifying k = -5.777777778xy-1 + -0.7777777778 Reorder the terms: k = -0.7777777778 + -5.777777778xy-1
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