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Simplifying 10k + -2k + -2k + 2k + -2 = 6 Reorder the terms: -2 + 10k + -2k + -2k + 2k = 6 Combine like terms: 10k + -2k = 8k -2 + 8k + -2k + 2k = 6 Combine like terms: 8k + -2k = 6k -2 + 6k + 2k = 6 Combine like terms: 6k + 2k = 8k -2 + 8k = 6 Solving -2 + 8k = 6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 8k = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 8k = 6 + 2 8k = 6 + 2 Combine like terms: 6 + 2 = 8 8k = 8 Divide each side by '8'. k = 1 Simplifying k = 1
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