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Simplifying -5(6 + -3k) = 11k (6 * -5 + -3k * -5) = 11k (-30 + 15k) = 11k Solving -30 + 15k = 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 = 11k + -11k Combine like terms: 15k + -11k = 4k -30 + 4k = 11k + -11k Combine like terms: 11k + -11k = 0 -30 + 4k = 0 Add '30' to each side of the equation. -30 + 30 + 4k = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 4k = 0 + 30 4k = 0 + 30 Combine like terms: 0 + 30 = 30 4k = 30 Divide each side by '4'. k = 7.5 Simplifying k = 7.5
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