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Simplifying 2k + -14 = -16 + 8k Reorder the terms: -14 + 2k = -16 + 8k Solving -14 + 2k = -16 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -14 + 2k + -8k = -16 + 8k + -8k Combine like terms: 2k + -8k = -6k -14 + -6k = -16 + 8k + -8k Combine like terms: 8k + -8k = 0 -14 + -6k = -16 + 0 -14 + -6k = -16 Add '14' to each side of the equation. -14 + 14 + -6k = -16 + 14 Combine like terms: -14 + 14 = 0 0 + -6k = -16 + 14 -6k = -16 + 14 Combine like terms: -16 + 14 = -2 -6k = -2 Divide each side by '-6'. k = 0.3333333333 Simplifying k = 0.3333333333
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