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Simplifying 8k + 2 = 10k + -8 Reorder the terms: 2 + 8k = 10k + -8 Reorder the terms: 2 + 8k = -8 + 10k Solving 2 + 8k = -8 + 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. 2 + 8k + -10k = -8 + 10k + -10k Combine like terms: 8k + -10k = -2k 2 + -2k = -8 + 10k + -10k Combine like terms: 10k + -10k = 0 2 + -2k = -8 + 0 2 + -2k = -8 Add '-2' to each side of the equation. 2 + -2 + -2k = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -2k = -8 + -2 -2k = -8 + -2 Combine like terms: -8 + -2 = -10 -2k = -10 Divide each side by '-2'. k = 5 Simplifying k = 5
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