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Simplifying 9x + -11(k + p) = x(a + -1) * forx 9x + (k * -11 + p * -11) = x(a + -1) * forx 9x + (-11k + -11p) = x(a + -1) * forx Reorder the terms: -11k + -11p + 9x = x(a + -1) * forx Reorder the terms: -11k + -11p + 9x = x(-1 + a) * forx Reorder the terms for easier multiplication: -11k + -11p + 9x = x * forx(-1 + a) Multiply x * forx -11k + -11p + 9x = forx2(-1 + a) -11k + -11p + 9x = (-1 * forx2 + a * forx2) Reorder the terms: -11k + -11p + 9x = (aforx2 + -1forx2) -11k + -11p + 9x = (aforx2 + -1forx2) Solving -11k + -11p + 9x = aforx2 + -1forx2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11p' to each side of the equation. -11k + -11p + 11p + 9x = aforx2 + -1forx2 + 11p Combine like terms: -11p + 11p = 0 -11k + 0 + 9x = aforx2 + -1forx2 + 11p -11k + 9x = aforx2 + -1forx2 + 11p Add '-9x' to each side of the equation. -11k + 9x + -9x = aforx2 + -1forx2 + 11p + -9x Combine like terms: 9x + -9x = 0 -11k + 0 = aforx2 + -1forx2 + 11p + -9x -11k = aforx2 + -1forx2 + 11p + -9x Divide each side by '-11'. k = -0.09090909091aforx2 + 0.09090909091forx2 + -1p + 0.8181818182x Simplifying k = -0.09090909091aforx2 + 0.09090909091forx2 + -1p + 0.8181818182x
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