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