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Simplifying -4k + -2 + 6k = -10 + 3k + 6 Reorder the terms: -2 + -4k + 6k = -10 + 3k + 6 Combine like terms: -4k + 6k = 2k -2 + 2k = -10 + 3k + 6 Reorder the terms: -2 + 2k = -10 + 6 + 3k Combine like terms: -10 + 6 = -4 -2 + 2k = -4 + 3k Solving -2 + 2k = -4 + 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. -2 + 2k + -3k = -4 + 3k + -3k Combine like terms: 2k + -3k = -1k -2 + -1k = -4 + 3k + -3k Combine like terms: 3k + -3k = 0 -2 + -1k = -4 + 0 -2 + -1k = -4 Add '2' to each side of the equation. -2 + 2 + -1k = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -1k = -4 + 2 -1k = -4 + 2 Combine like terms: -4 + 2 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2
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