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Simplifying 2(3b + 4c) + -6(9b + -3c) = 0 (3b * 2 + 4c * 2) + -6(9b + -3c) = 0 (6b + 8c) + -6(9b + -3c) = 0 6b + 8c + (9b * -6 + -3c * -6) = 0 6b + 8c + (-54b + 18c) = 0 Reorder the terms: 6b + -54b + 8c + 18c = 0 Combine like terms: 6b + -54b = -48b -48b + 8c + 18c = 0 Combine like terms: 8c + 18c = 26c -48b + 26c = 0 Solving -48b + 26c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-26c' to each side of the equation. -48b + 26c + -26c = 0 + -26c Combine like terms: 26c + -26c = 0 -48b + 0 = 0 + -26c -48b = 0 + -26c Remove the zero: -48b = -26c Divide each side by '-48'. b = 0.5416666667c Simplifying b = 0.5416666667c
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