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Simplifying 7(9 + 3k) = -21 + 9k (9 * 7 + 3k * 7) = -21 + 9k (63 + 21k) = -21 + 9k Solving 63 + 21k = -21 + 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. 63 + 21k + -9k = -21 + 9k + -9k Combine like terms: 21k + -9k = 12k 63 + 12k = -21 + 9k + -9k Combine like terms: 9k + -9k = 0 63 + 12k = -21 + 0 63 + 12k = -21 Add '-63' to each side of the equation. 63 + -63 + 12k = -21 + -63 Combine like terms: 63 + -63 = 0 0 + 12k = -21 + -63 12k = -21 + -63 Combine like terms: -21 + -63 = -84 12k = -84 Divide each side by '12'. k = -7 Simplifying k = -7
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