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Simplifying 0.2(-15k + 60) = 6 + 11k Reorder the terms: 0.2(60 + -15k) = 6 + 11k (60 * 0.2 + -15k * 0.2) = 6 + 11k (12 + -3k) = 6 + 11k Solving 12 + -3k = 6 + 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. 12 + -3k + -11k = 6 + 11k + -11k Combine like terms: -3k + -11k = -14k 12 + -14k = 6 + 11k + -11k Combine like terms: 11k + -11k = 0 12 + -14k = 6 + 0 12 + -14k = 6 Add '-12' to each side of the equation. 12 + -12 + -14k = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -14k = 6 + -12 -14k = 6 + -12 Combine like terms: 6 + -12 = -6 -14k = -6 Divide each side by '-14'. k = 0.4285714286 Simplifying k = 0.4285714286
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