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Simplifying -5(3k + -10) + 3k = 182 Reorder the terms: -5(-10 + 3k) + 3k = 182 (-10 * -5 + 3k * -5) + 3k = 182 (50 + -15k) + 3k = 182 Combine like terms: -15k + 3k = -12k 50 + -12k = 182 Solving 50 + -12k = 182 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -12k = 182 + -50 Combine like terms: 50 + -50 = 0 0 + -12k = 182 + -50 -12k = 182 + -50 Combine like terms: 182 + -50 = 132 -12k = 132 Divide each side by '-12'. k = -11 Simplifying k = -11
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