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Simplifying -6 + 6k + 2 + -4k = 1 + -3k Reorder the terms: -6 + 2 + 6k + -4k = 1 + -3k Combine like terms: -6 + 2 = -4 -4 + 6k + -4k = 1 + -3k Combine like terms: 6k + -4k = 2k -4 + 2k = 1 + -3k Solving -4 + 2k = 1 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -4 + 2k + 3k = 1 + -3k + 3k Combine like terms: 2k + 3k = 5k -4 + 5k = 1 + -3k + 3k Combine like terms: -3k + 3k = 0 -4 + 5k = 1 + 0 -4 + 5k = 1 Add '4' to each side of the equation. -4 + 4 + 5k = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 5k = 1 + 4 5k = 1 + 4 Combine like terms: 1 + 4 = 5 5k = 5 Divide each side by '5'. k = 1 Simplifying k = 1
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