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Simplifying -12 = 5k + -2k Combine like terms: 5k + -2k = 3k -12 = 3k Solving -12 = 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. -12 + -3k = 3k + -3k Combine like terms: 3k + -3k = 0 -12 + -3k = 0 Add '12' to each side of the equation. -12 + 12 + -3k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -3k = 0 + 12 -3k = 0 + 12 Combine like terms: 0 + 12 = 12 -3k = 12 Divide each side by '-3'. k = -4 Simplifying k = -4
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