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Simplifying 7(3k + 3) + -3 = 165 Reorder the terms: 7(3 + 3k) + -3 = 165 (3 * 7 + 3k * 7) + -3 = 165 (21 + 21k) + -3 = 165 Reorder the terms: 21 + -3 + 21k = 165 Combine like terms: 21 + -3 = 18 18 + 21k = 165 Solving 18 + 21k = 165 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 21k = 165 + -18 Combine like terms: 18 + -18 = 0 0 + 21k = 165 + -18 21k = 165 + -18 Combine like terms: 165 + -18 = 147 21k = 147 Divide each side by '21'. k = 7 Simplifying k = 7
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