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Simplifying k + -2(-9 + -5k) = -3 k + (-9 * -2 + -5k * -2) = -3 k + (18 + 10k) = -3 Reorder the terms: 18 + k + 10k = -3 Combine like terms: k + 10k = 11k 18 + 11k = -3 Solving 18 + 11k = -3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 11k = -3 + -18 Combine like terms: 18 + -18 = 0 0 + 11k = -3 + -18 11k = -3 + -18 Combine like terms: -3 + -18 = -21 11k = -21 Divide each side by '11'. k = -1.909090909 Simplifying k = -1.909090909
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