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Simplifying -8(3 + 3k) = 30 + -6k (3 * -8 + 3k * -8) = 30 + -6k (-24 + -24k) = 30 + -6k Solving -24 + -24k = 30 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -24 + -24k + 6k = 30 + -6k + 6k Combine like terms: -24k + 6k = -18k -24 + -18k = 30 + -6k + 6k Combine like terms: -6k + 6k = 0 -24 + -18k = 30 + 0 -24 + -18k = 30 Add '24' to each side of the equation. -24 + 24 + -18k = 30 + 24 Combine like terms: -24 + 24 = 0 0 + -18k = 30 + 24 -18k = 30 + 24 Combine like terms: 30 + 24 = 54 -18k = 54 Divide each side by '-18'. k = -3 Simplifying k = -3
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