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Simplifying 8 + -3k = 3k + 12 Reorder the terms: 8 + -3k = 12 + 3k Solving 8 + -3k = 12 + 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 = 12 + 3k + -3k Combine like terms: -3k + -3k = -6k 8 + -6k = 12 + 3k + -3k Combine like terms: 3k + -3k = 0 8 + -6k = 12 + 0 8 + -6k = 12 Add '-8' to each side of the equation. 8 + -8 + -6k = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -6k = 12 + -8 -6k = 12 + -8 Combine like terms: 12 + -8 = 4 -6k = 4 Divide each side by '-6'. k = -0.6666666667 Simplifying k = -0.6666666667
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