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Simplifying 10 + -2k = k + -5 Reorder the terms: 10 + -2k = -5 + k Solving 10 + -2k = -5 + 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 + -2k + -1k = -5 + k + -1k Combine like terms: -2k + -1k = -3k 10 + -3k = -5 + k + -1k Combine like terms: k + -1k = 0 10 + -3k = -5 + 0 10 + -3k = -5 Add '-10' to each side of the equation. 10 + -10 + -3k = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -3k = -5 + -10 -3k = -5 + -10 Combine like terms: -5 + -10 = -15 -3k = -15 Divide each side by '-3'. k = 5 Simplifying k = 5
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