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Simplifying 10 + -2k = 3k + -1 Reorder the terms: 10 + -2k = -1 + 3k Solving 10 + -2k = -1 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 10 + -2k + -3k = -1 + 3k + -3k Combine like terms: -2k + -3k = -5k 10 + -5k = -1 + 3k + -3k Combine like terms: 3k + -3k = 0 10 + -5k = -1 + 0 10 + -5k = -1 Add '-10' to each side of the equation. 10 + -10 + -5k = -1 + -10 Combine like terms: 10 + -10 = 0 0 + -5k = -1 + -10 -5k = -1 + -10 Combine like terms: -1 + -10 = -11 -5k = -11 Divide each side by '-5'. k = 2.2 Simplifying k = 2.2
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