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Simplifying 8 + 4k = -10k + -2 Reorder the terms: 8 + 4k = -2 + -10k Solving 8 + 4k = -2 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 8 + 4k + 10k = -2 + -10k + 10k Combine like terms: 4k + 10k = 14k 8 + 14k = -2 + -10k + 10k Combine like terms: -10k + 10k = 0 8 + 14k = -2 + 0 8 + 14k = -2 Add '-8' to each side of the equation. 8 + -8 + 14k = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 14k = -2 + -8 14k = -2 + -8 Combine like terms: -2 + -8 = -10 14k = -10 Divide each side by '14'. k = -0.7142857143 Simplifying k = -0.7142857143
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