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Simplifying 2 + -7k = 18 + -5k Solving 2 + -7k = 18 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 2 + -7k + 5k = 18 + -5k + 5k Combine like terms: -7k + 5k = -2k 2 + -2k = 18 + -5k + 5k Combine like terms: -5k + 5k = 0 2 + -2k = 18 + 0 2 + -2k = 18 Add '-2' to each side of the equation. 2 + -2 + -2k = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -2k = 18 + -2 -2k = 18 + -2 Combine like terms: 18 + -2 = 16 -2k = 16 Divide each side by '-2'. k = -8 Simplifying k = -8
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