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Simplifying 9(7 + k) + (6k + 2) * 2 = 0 (7 * 9 + k * 9) + (6k + 2) * 2 = 0 (63 + 9k) + (6k + 2) * 2 = 0 Reorder the terms: 63 + 9k + (2 + 6k) * 2 = 0 Reorder the terms for easier multiplication: 63 + 9k + 2(2 + 6k) = 0 63 + 9k + (2 * 2 + 6k * 2) = 0 63 + 9k + (4 + 12k) = 0 Reorder the terms: 63 + 4 + 9k + 12k = 0 Combine like terms: 63 + 4 = 67 67 + 9k + 12k = 0 Combine like terms: 9k + 12k = 21k 67 + 21k = 0 Solving 67 + 21k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-67' to each side of the equation. 67 + -67 + 21k = 0 + -67 Combine like terms: 67 + -67 = 0 0 + 21k = 0 + -67 21k = 0 + -67 Combine like terms: 0 + -67 = -67 21k = -67 Divide each side by '21'. k = -3.19047619 Simplifying k = -3.19047619
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