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Simplifying 5(-15k + 75) = 8 + 11k Reorder the terms: 5(75 + -15k) = 8 + 11k (75 * 5 + -15k * 5) = 8 + 11k (375 + -75k) = 8 + 11k Solving 375 + -75k = 8 + 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. 375 + -75k + -11k = 8 + 11k + -11k Combine like terms: -75k + -11k = -86k 375 + -86k = 8 + 11k + -11k Combine like terms: 11k + -11k = 0 375 + -86k = 8 + 0 375 + -86k = 8 Add '-375' to each side of the equation. 375 + -375 + -86k = 8 + -375 Combine like terms: 375 + -375 = 0 0 + -86k = 8 + -375 -86k = 8 + -375 Combine like terms: 8 + -375 = -367 -86k = -367 Divide each side by '-86'. k = 4.26744186 Simplifying k = 4.26744186
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