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Simplifying 3(-3k + 6) = 38 + -4k Reorder the terms: 3(6 + -3k) = 38 + -4k (6 * 3 + -3k * 3) = 38 + -4k (18 + -9k) = 38 + -4k Solving 18 + -9k = 38 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 18 + -9k + 4k = 38 + -4k + 4k Combine like terms: -9k + 4k = -5k 18 + -5k = 38 + -4k + 4k Combine like terms: -4k + 4k = 0 18 + -5k = 38 + 0 18 + -5k = 38 Add '-18' to each side of the equation. 18 + -18 + -5k = 38 + -18 Combine like terms: 18 + -18 = 0 0 + -5k = 38 + -18 -5k = 38 + -18 Combine like terms: 38 + -18 = 20 -5k = 20 Divide each side by '-5'. k = -4 Simplifying k = -4
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