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Simplifying 13 = 6k + -7k Combine like terms: 6k + -7k = -1k 13 = -1k Solving 13 = -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 13 + k = -1k + k Combine like terms: -1k + k = 0 13 + k = 0 Add '-13' to each side of the equation. 13 + -13 + k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + k = 0 + -13 k = 0 + -13 Combine like terms: 0 + -13 = -13 k = -13 Simplifying k = -13
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