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Simplifying 10 + 2k = -8 + 5k Solving 10 + 2k = -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 + 2k + -5k = -8 + 5k + -5k Combine like terms: 2k + -5k = -3k 10 + -3k = -8 + 5k + -5k Combine like terms: 5k + -5k = 0 10 + -3k = -8 + 0 10 + -3k = -8 Add '-10' to each side of the equation. 10 + -10 + -3k = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -3k = -8 + -10 -3k = -8 + -10 Combine like terms: -8 + -10 = -18 -3k = -18 Divide each side by '-3'. k = 6 Simplifying k = 6
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