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Simplifying 15 = 7 + 3k + -12 Reorder the terms: 15 = 7 + -12 + 3k Combine like terms: 7 + -12 = -5 15 = -5 + 3k Solving 15 = -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. 15 + -3k = -5 + 3k + -3k Combine like terms: 3k + -3k = 0 15 + -3k = -5 + 0 15 + -3k = -5 Add '-15' to each side of the equation. 15 + -15 + -3k = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -3k = -5 + -15 -3k = -5 + -15 Combine like terms: -5 + -15 = -20 -3k = -20 Divide each side by '-3'. k = 6.666666667 Simplifying k = 6.666666667
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