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Simplifying 12k + -3(5 + 5) = 52 Combine like terms: 5 + 5 = 10 12k + -3(10) = 52 Multiply -3 * 10 12k + -30 = 52 Reorder the terms: -30 + 12k = 52 Solving -30 + 12k = 52 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 12k = 52 + 30 Combine like terms: -30 + 30 = 0 0 + 12k = 52 + 30 12k = 52 + 30 Combine like terms: 52 + 30 = 82 12k = 82 Divide each side by '12'. k = 6.833333333 Simplifying k = 6.833333333
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