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Simplifying 8 + -3k = 3k + 21 Reorder the terms: 8 + -3k = 21 + 3k Solving 8 + -3k = 21 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 8 + -3k + -3k = 21 + 3k + -3k Combine like terms: -3k + -3k = -6k 8 + -6k = 21 + 3k + -3k Combine like terms: 3k + -3k = 0 8 + -6k = 21 + 0 8 + -6k = 21 Add '-8' to each side of the equation. 8 + -8 + -6k = 21 + -8 Combine like terms: 8 + -8 = 0 0 + -6k = 21 + -8 -6k = 21 + -8 Combine like terms: 21 + -8 = 13 -6k = 13 Divide each side by '-6'. k = -2.166666667 Simplifying k = -2.166666667
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