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Simplifying -2k + k + -3k = 7 + 2k + -2 Combine like terms: -2k + k = -1k -1k + -3k = 7 + 2k + -2 Combine like terms: -1k + -3k = -4k -4k = 7 + 2k + -2 Reorder the terms: -4k = 7 + -2 + 2k Combine like terms: 7 + -2 = 5 -4k = 5 + 2k Solving -4k = 5 + 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. -4k + -2k = 5 + 2k + -2k Combine like terms: -4k + -2k = -6k -6k = 5 + 2k + -2k Combine like terms: 2k + -2k = 0 -6k = 5 + 0 -6k = 5 Divide each side by '-6'. k = -0.8333333333 Simplifying k = -0.8333333333
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