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Simplifying -13k + 10 = k + 2 Reorder the terms: 10 + -13k = k + 2 Reorder the terms: 10 + -13k = 2 + k Solving 10 + -13k = 2 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 10 + -13k + -1k = 2 + k + -1k Combine like terms: -13k + -1k = -14k 10 + -14k = 2 + k + -1k Combine like terms: k + -1k = 0 10 + -14k = 2 + 0 10 + -14k = 2 Add '-10' to each side of the equation. 10 + -10 + -14k = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -14k = 2 + -10 -14k = 2 + -10 Combine like terms: 2 + -10 = -8 -14k = -8 Divide each side by '-14'. k = 0.5714285714 Simplifying k = 0.5714285714
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