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Simplifying 30 + (12k + -3) + 15 + -7 = 100 Reorder the terms: 30 + (-3 + 12k) + 15 + -7 = 100 Remove parenthesis around (-3 + 12k) 30 + -3 + 12k + 15 + -7 = 100 Reorder the terms: 30 + -3 + 15 + -7 + 12k = 100 Combine like terms: 30 + -3 = 27 27 + 15 + -7 + 12k = 100 Combine like terms: 27 + 15 = 42 42 + -7 + 12k = 100 Combine like terms: 42 + -7 = 35 35 + 12k = 100 Solving 35 + 12k = 100 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 12k = 100 + -35 Combine like terms: 35 + -35 = 0 0 + 12k = 100 + -35 12k = 100 + -35 Combine like terms: 100 + -35 = 65 12k = 65 Divide each side by '12'. k = 5.416666667 Simplifying k = 5.416666667
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