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Simplifying -3(1 + -6k) = 36 + 5k (1 * -3 + -6k * -3) = 36 + 5k (-3 + 18k) = 36 + 5k Solving -3 + 18k = 36 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -3 + 18k + -5k = 36 + 5k + -5k Combine like terms: 18k + -5k = 13k -3 + 13k = 36 + 5k + -5k Combine like terms: 5k + -5k = 0 -3 + 13k = 36 + 0 -3 + 13k = 36 Add '3' to each side of the equation. -3 + 3 + 13k = 36 + 3 Combine like terms: -3 + 3 = 0 0 + 13k = 36 + 3 13k = 36 + 3 Combine like terms: 36 + 3 = 39 13k = 39 Divide each side by '13'. k = 3 Simplifying k = 3
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