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Simplifying 18 + 3(6k + 7) = 9k + -14 + -19 Reorder the terms: 18 + 3(7 + 6k) = 9k + -14 + -19 18 + (7 * 3 + 6k * 3) = 9k + -14 + -19 18 + (21 + 18k) = 9k + -14 + -19 Combine like terms: 18 + 21 = 39 39 + 18k = 9k + -14 + -19 Reorder the terms: 39 + 18k = -14 + -19 + 9k Combine like terms: -14 + -19 = -33 39 + 18k = -33 + 9k Solving 39 + 18k = -33 + 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. 39 + 18k + -9k = -33 + 9k + -9k Combine like terms: 18k + -9k = 9k 39 + 9k = -33 + 9k + -9k Combine like terms: 9k + -9k = 0 39 + 9k = -33 + 0 39 + 9k = -33 Add '-39' to each side of the equation. 39 + -39 + 9k = -33 + -39 Combine like terms: 39 + -39 = 0 0 + 9k = -33 + -39 9k = -33 + -39 Combine like terms: -33 + -39 = -72 9k = -72 Divide each side by '9'. k = -8 Simplifying k = -8
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