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Simplifying 15 + -11k = -15k + -18 + 7k Reorder the terms: 15 + -11k = -18 + -15k + 7k Combine like terms: -15k + 7k = -8k 15 + -11k = -18 + -8k Solving 15 + -11k = -18 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 15 + -11k + 8k = -18 + -8k + 8k Combine like terms: -11k + 8k = -3k 15 + -3k = -18 + -8k + 8k Combine like terms: -8k + 8k = 0 15 + -3k = -18 + 0 15 + -3k = -18 Add '-15' to each side of the equation. 15 + -15 + -3k = -18 + -15 Combine like terms: 15 + -15 = 0 0 + -3k = -18 + -15 -3k = -18 + -15 Combine like terms: -18 + -15 = -33 -3k = -33 Divide each side by '-3'. k = 11 Simplifying k = 11
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