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Simplifying -3(3 + 6k) = -8k + 39 (3 * -3 + 6k * -3) = -8k + 39 (-9 + -18k) = -8k + 39 Reorder the terms: -9 + -18k = 39 + -8k Solving -9 + -18k = 39 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -9 + -18k + 8k = 39 + -8k + 8k Combine like terms: -18k + 8k = -10k -9 + -10k = 39 + -8k + 8k Combine like terms: -8k + 8k = 0 -9 + -10k = 39 + 0 -9 + -10k = 39 Add '9' to each side of the equation. -9 + 9 + -10k = 39 + 9 Combine like terms: -9 + 9 = 0 0 + -10k = 39 + 9 -10k = 39 + 9 Combine like terms: 39 + 9 = 48 -10k = 48 Divide each side by '-10'. k = -4.8 Simplifying k = -4.8
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