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Simplifying -2 + -3k + -2 = -2k + 8 + -5 Reorder the terms: -2 + -2 + -3k = -2k + 8 + -5 Combine like terms: -2 + -2 = -4 -4 + -3k = -2k + 8 + -5 Reorder the terms: -4 + -3k = 8 + -5 + -2k Combine like terms: 8 + -5 = 3 -4 + -3k = 3 + -2k Solving -4 + -3k = 3 + -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. -4 + -3k + 2k = 3 + -2k + 2k Combine like terms: -3k + 2k = -1k -4 + -1k = 3 + -2k + 2k Combine like terms: -2k + 2k = 0 -4 + -1k = 3 + 0 -4 + -1k = 3 Add '4' to each side of the equation. -4 + 4 + -1k = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -1k = 3 + 4 -1k = 3 + 4 Combine like terms: 3 + 4 = 7 -1k = 7 Divide each side by '-1'. k = -7 Simplifying k = -7
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