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Simplifying 10 + -10k = 18 + -12k Solving 10 + -10k = 18 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. 10 + -10k + 12k = 18 + -12k + 12k Combine like terms: -10k + 12k = 2k 10 + 2k = 18 + -12k + 12k Combine like terms: -12k + 12k = 0 10 + 2k = 18 + 0 10 + 2k = 18 Add '-10' to each side of the equation. 10 + -10 + 2k = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 2k = 18 + -10 2k = 18 + -10 Combine like terms: 18 + -10 = 8 2k = 8 Divide each side by '2'. k = 4 Simplifying k = 4
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