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Simplifying 0.5(-6k + 30) = 5 + 11k Reorder the terms: 0.5(30 + -6k) = 5 + 11k (30 * 0.5 + -6k * 0.5) = 5 + 11k (15 + -3k) = 5 + 11k Solving 15 + -3k = 5 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. 15 + -3k + -11k = 5 + 11k + -11k Combine like terms: -3k + -11k = -14k 15 + -14k = 5 + 11k + -11k Combine like terms: 11k + -11k = 0 15 + -14k = 5 + 0 15 + -14k = 5 Add '-15' to each side of the equation. 15 + -15 + -14k = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -14k = 5 + -15 -14k = 5 + -15 Combine like terms: 5 + -15 = -10 -14k = -10 Divide each side by '-14'. k = 0.7142857143 Simplifying k = 0.7142857143
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