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Simplifying k = 11(k + 460) Reorder the terms: k = 11(460 + k) k = (460 * 11 + k * 11) k = (5060 + 11k) Solving k = 5060 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. k + -11k = 5060 + 11k + -11k Combine like terms: k + -11k = -10k -10k = 5060 + 11k + -11k Combine like terms: 11k + -11k = 0 -10k = 5060 + 0 -10k = 5060 Divide each side by '-10'. k = -506 Simplifying k = -506
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