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Simplifying -5k + 2 = -10 + -3k Reorder the terms: 2 + -5k = -10 + -3k Solving 2 + -5k = -10 + -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 + -5k + 3k = -10 + -3k + 3k Combine like terms: -5k + 3k = -2k 2 + -2k = -10 + -3k + 3k Combine like terms: -3k + 3k = 0 2 + -2k = -10 + 0 2 + -2k = -10 Add '-2' to each side of the equation. 2 + -2 + -2k = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -2k = -10 + -2 -2k = -10 + -2 Combine like terms: -10 + -2 = -12 -2k = -12 Divide each side by '-2'. k = 6 Simplifying k = 6
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