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Simplifying -2 + -3k = 2k + 8 Reorder the terms: -2 + -3k = 8 + 2k Solving -2 + -3k = 8 + 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. -2 + -3k + -2k = 8 + 2k + -2k Combine like terms: -3k + -2k = -5k -2 + -5k = 8 + 2k + -2k Combine like terms: 2k + -2k = 0 -2 + -5k = 8 + 0 -2 + -5k = 8 Add '2' to each side of the equation. -2 + 2 + -5k = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -5k = 8 + 2 -5k = 8 + 2 Combine like terms: 8 + 2 = 10 -5k = 10 Divide each side by '-5'. k = -2 Simplifying k = -2
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