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Simplifying -1k + 10 = -8 + 5k Reorder the terms: 10 + -1k = -8 + 5k Solving 10 + -1k = -8 + 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. 10 + -1k + -5k = -8 + 5k + -5k Combine like terms: -1k + -5k = -6k 10 + -6k = -8 + 5k + -5k Combine like terms: 5k + -5k = 0 10 + -6k = -8 + 0 10 + -6k = -8 Add '-10' to each side of the equation. 10 + -10 + -6k = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -6k = -8 + -10 -6k = -8 + -10 Combine like terms: -8 + -10 = -18 -6k = -18 Divide each side by '-6'. k = 3 Simplifying k = 3
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