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Simplifying (30k + -12) + k = 180 Reorder the terms: (-12 + 30k) + k = 180 Remove parenthesis around (-12 + 30k) -12 + 30k + k = 180 Combine like terms: 30k + k = 31k -12 + 31k = 180 Solving -12 + 31k = 180 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 31k = 180 + 12 Combine like terms: -12 + 12 = 0 0 + 31k = 180 + 12 31k = 180 + 12 Combine like terms: 180 + 12 = 192 31k = 192 Divide each side by '31'. k = 6.193548387 Simplifying k = 6.193548387
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