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Simplifying 0 = 9(7 + k) + (6k + 3) * 2 0 = (7 * 9 + k * 9) + (6k + 3) * 2 0 = (63 + 9k) + (6k + 3) * 2 Reorder the terms: 0 = 63 + 9k + (3 + 6k) * 2 Reorder the terms for easier multiplication: 0 = 63 + 9k + 2(3 + 6k) 0 = 63 + 9k + (3 * 2 + 6k * 2) 0 = 63 + 9k + (6 + 12k) Reorder the terms: 0 = 63 + 6 + 9k + 12k Combine like terms: 63 + 6 = 69 0 = 69 + 9k + 12k Combine like terms: 9k + 12k = 21k 0 = 69 + 21k Solving 0 = 69 + 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. 0 + -21k = 69 + 21k + -21k Remove the zero: -21k = 69 + 21k + -21k Combine like terms: 21k + -21k = 0 -21k = 69 + 0 -21k = 69 Divide each side by '-21'. k = -3.285714286 Simplifying k = -3.285714286
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