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Simplifying 5 + -2k = 21 + 6k Solving 5 + -2k = 21 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 5 + -2k + -6k = 21 + 6k + -6k Combine like terms: -2k + -6k = -8k 5 + -8k = 21 + 6k + -6k Combine like terms: 6k + -6k = 0 5 + -8k = 21 + 0 5 + -8k = 21 Add '-5' to each side of the equation. 5 + -5 + -8k = 21 + -5 Combine like terms: 5 + -5 = 0 0 + -8k = 21 + -5 -8k = 21 + -5 Combine like terms: 21 + -5 = 16 -8k = 16 Divide each side by '-8'. k = -2 Simplifying k = -2
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