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Simplifying 9x + -11(k + p) = x(a + -1) 9x + (k * -11 + p * -11) = x(a + -1) 9x + (-11k + -11p) = x(a + -1) Reorder the terms: -11k + -11p + 9x = x(a + -1) Reorder the terms: -11k + -11p + 9x = x(-1 + a) -11k + -11p + 9x = (-1 * x + a * x) Reorder the terms: -11k + -11p + 9x = (ax + -1x) -11k + -11p + 9x = (ax + -1x) Solving -11k + -11p + 9x = ax + -1x 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 = ax + 11p + -1x Combine like terms: -11p + 11p = 0 -11k + 0 + 9x = ax + 11p + -1x -11k + 9x = ax + 11p + -1x Add '-9x' to each side of the equation. -11k + 9x + -9x = ax + 11p + -1x + -9x Combine like terms: 9x + -9x = 0 -11k + 0 = ax + 11p + -1x + -9x -11k = ax + 11p + -1x + -9x Combine like terms: -1x + -9x = -10x -11k = ax + 11p + -10x Divide each side by '-11'. k = -0.09090909091ax + -1p + 0.9090909091x Simplifying k = -0.09090909091ax + -1p + 0.9090909091x
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