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Simplifying 3k + -6 + -4 = -2 + 2k Reorder the terms: -6 + -4 + 3k = -2 + 2k Combine like terms: -6 + -4 = -10 -10 + 3k = -2 + 2k Solving -10 + 3k = -2 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -10 + 3k + -2k = -2 + 2k + -2k Combine like terms: 3k + -2k = 1k -10 + 1k = -2 + 2k + -2k Combine like terms: 2k + -2k = 0 -10 + 1k = -2 + 0 -10 + 1k = -2 Add '10' to each side of the equation. -10 + 10 + 1k = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 1k = -2 + 10 1k = -2 + 10 Combine like terms: -2 + 10 = 8 1k = 8 Divide each side by '1'. k = 8 Simplifying k = 8
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