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Simplifying -8 + 3(-6 + -9k) = 46 + -9k -8 + (-6 * 3 + -9k * 3) = 46 + -9k -8 + (-18 + -27k) = 46 + -9k Combine like terms: -8 + -18 = -26 -26 + -27k = 46 + -9k Solving -26 + -27k = 46 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -26 + -27k + 9k = 46 + -9k + 9k Combine like terms: -27k + 9k = -18k -26 + -18k = 46 + -9k + 9k Combine like terms: -9k + 9k = 0 -26 + -18k = 46 + 0 -26 + -18k = 46 Add '26' to each side of the equation. -26 + 26 + -18k = 46 + 26 Combine like terms: -26 + 26 = 0 0 + -18k = 46 + 26 -18k = 46 + 26 Combine like terms: 46 + 26 = 72 -18k = 72 Divide each side by '-18'. k = -4 Simplifying k = -4
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