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Simplifying 30 = 7 + 3k + -12 Reorder the terms: 30 = 7 + -12 + 3k Combine like terms: 7 + -12 = -5 30 = -5 + 3k Solving 30 = -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. 30 + -3k = -5 + 3k + -3k Combine like terms: 3k + -3k = 0 30 + -3k = -5 + 0 30 + -3k = -5 Add '-30' to each side of the equation. 30 + -30 + -3k = -5 + -30 Combine like terms: 30 + -30 = 0 0 + -3k = -5 + -30 -3k = -5 + -30 Combine like terms: -5 + -30 = -35 -3k = -35 Divide each side by '-3'. k = 11.66666667 Simplifying k = 11.66666667
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