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Simplifying 5(6 + -3k) = 11k + 10 (6 * 5 + -3k * 5) = 11k + 10 (30 + -15k) = 11k + 10 Reorder the terms: 30 + -15k = 10 + 11k Solving 30 + -15k = 10 + 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. 30 + -15k + -11k = 10 + 11k + -11k Combine like terms: -15k + -11k = -26k 30 + -26k = 10 + 11k + -11k Combine like terms: 11k + -11k = 0 30 + -26k = 10 + 0 30 + -26k = 10 Add '-30' to each side of the equation. 30 + -30 + -26k = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -26k = 10 + -30 -26k = 10 + -30 Combine like terms: 10 + -30 = -20 -26k = -20 Divide each side by '-26'. k = 0.7692307692 Simplifying k = 0.7692307692
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