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