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Simplifying 1 + 2k + -6k = -3 + -3k Combine like terms: 2k + -6k = -4k 1 + -4k = -3 + -3k Solving 1 + -4k = -3 + -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. 1 + -4k + 3k = -3 + -3k + 3k Combine like terms: -4k + 3k = -1k 1 + -1k = -3 + -3k + 3k Combine like terms: -3k + 3k = 0 1 + -1k = -3 + 0 1 + -1k = -3 Add '-1' to each side of the equation. 1 + -1 + -1k = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = -3 + -1 -1k = -3 + -1 Combine like terms: -3 + -1 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4
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