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Simplifying 24 = 7 + 3k + -12 Reorder the terms: 24 = 7 + -12 + 3k Combine like terms: 7 + -12 = -5 24 = -5 + 3k Solving 24 = -5 + 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. 24 + -3k = -5 + 3k + -3k Combine like terms: 3k + -3k = 0 24 + -3k = -5 + 0 24 + -3k = -5 Add '-24' to each side of the equation. 24 + -24 + -3k = -5 + -24 Combine like terms: 24 + -24 = 0 0 + -3k = -5 + -24 -3k = -5 + -24 Combine like terms: -5 + -24 = -29 -3k = -29 Divide each side by '-3'. k = 9.666666667 Simplifying k = 9.666666667
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