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Simplifying 2(3h + 6b) + 3(h + 4b) = 0 Reorder the terms: 2(6b + 3h) + 3(h + 4b) = 0 (6b * 2 + 3h * 2) + 3(h + 4b) = 0 (12b + 6h) + 3(h + 4b) = 0 Reorder the terms: 12b + 6h + 3(4b + h) = 0 12b + 6h + (4b * 3 + h * 3) = 0 12b + 6h + (12b + 3h) = 0 Reorder the terms: 12b + 12b + 6h + 3h = 0 Combine like terms: 12b + 12b = 24b 24b + 6h + 3h = 0 Combine like terms: 6h + 3h = 9h 24b + 9h = 0 Solving 24b + 9h = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9h' to each side of the equation. 24b + 9h + -9h = 0 + -9h Combine like terms: 9h + -9h = 0 24b + 0 = 0 + -9h 24b = 0 + -9h Remove the zero: 24b = -9h Divide each side by '24'. b = -0.375h Simplifying b = -0.375h
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