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Simplifying -6(3 + 2k) = 30 + -6k (3 * -6 + 2k * -6) = 30 + -6k (-18 + -12k) = 30 + -6k Solving -18 + -12k = 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. -18 + -12k + 6k = 30 + -6k + 6k Combine like terms: -12k + 6k = -6k -18 + -6k = 30 + -6k + 6k Combine like terms: -6k + 6k = 0 -18 + -6k = 30 + 0 -18 + -6k = 30 Add '18' to each side of the equation. -18 + 18 + -6k = 30 + 18 Combine like terms: -18 + 18 = 0 0 + -6k = 30 + 18 -6k = 30 + 18 Combine like terms: 30 + 18 = 48 -6k = 48 Divide each side by '-6'. k = -8 Simplifying k = -8
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