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Simplifying 27 = 7 + 3k + -12 Reorder the terms: 27 = 7 + -12 + 3k Combine like terms: 7 + -12 = -5 27 = -5 + 3k Solving 27 = -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. 27 + -3k = -5 + 3k + -3k Combine like terms: 3k + -3k = 0 27 + -3k = -5 + 0 27 + -3k = -5 Add '-27' to each side of the equation. 27 + -27 + -3k = -5 + -27 Combine like terms: 27 + -27 = 0 0 + -3k = -5 + -27 -3k = -5 + -27 Combine like terms: -5 + -27 = -32 -3k = -32 Divide each side by '-3'. k = 10.66666667 Simplifying k = 10.66666667
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