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Simplifying 0 = (3k + 4) * 6 + 7(k + 6) Reorder the terms: 0 = (4 + 3k) * 6 + 7(k + 6) Reorder the terms for easier multiplication: 0 = 6(4 + 3k) + 7(k + 6) 0 = (4 * 6 + 3k * 6) + 7(k + 6) 0 = (24 + 18k) + 7(k + 6) Reorder the terms: 0 = 24 + 18k + 7(6 + k) 0 = 24 + 18k + (6 * 7 + k * 7) 0 = 24 + 18k + (42 + 7k) Reorder the terms: 0 = 24 + 42 + 18k + 7k Combine like terms: 24 + 42 = 66 0 = 66 + 18k + 7k Combine like terms: 18k + 7k = 25k 0 = 66 + 25k Solving 0 = 66 + 25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25k' to each side of the equation. 0 + -25k = 66 + 25k + -25k Remove the zero: -25k = 66 + 25k + -25k Combine like terms: 25k + -25k = 0 -25k = 66 + 0 -25k = 66 Divide each side by '-25'. k = -2.64 Simplifying k = -2.64
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