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Simplifying 11(k + -1) = 7(K + -3K) Reorder the terms: 11(-1 + k) = 7(K + -3K) (-1 * 11 + k * 11) = 7(K + -3K) (-11 + 11k) = 7(K + -3K) Combine like terms: K + -3K = -2K -11 + 11k = 7(-2K) Remove parenthesis around (-2K) -11 + 11k = 7 * -2K Multiply 7 * -2 -11 + 11k = -14K Solving -11 + 11k = -14K Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 11k = 11 + -14K Combine like terms: -11 + 11 = 0 0 + 11k = 11 + -14K 11k = 11 + -14K Divide each side by '11'. k = 1 + -1.272727273K Simplifying k = 1 + -1.272727273K
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