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Simplifying 10 + -6k = 2 + -1k + -22 Reorder the terms: 10 + -6k = 2 + -22 + -1k Combine like terms: 2 + -22 = -20 10 + -6k = -20 + -1k Solving 10 + -6k = -20 + -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. 10 + -6k + k = -20 + -1k + k Combine like terms: -6k + k = -5k 10 + -5k = -20 + -1k + k Combine like terms: -1k + k = 0 10 + -5k = -20 + 0 10 + -5k = -20 Add '-10' to each side of the equation. 10 + -10 + -5k = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -5k = -20 + -10 -5k = -20 + -10 Combine like terms: -20 + -10 = -30 -5k = -30 Divide each side by '-5'. k = 6 Simplifying k = 6
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