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Simplifying 3(2b + -1c) + 5(b + -1c) = 0 (2b * 3 + -1c * 3) + 5(b + -1c) = 0 (6b + -3c) + 5(b + -1c) = 0 6b + -3c + (b * 5 + -1c * 5) = 0 6b + -3c + (5b + -5c) = 0 Reorder the terms: 6b + 5b + -3c + -5c = 0 Combine like terms: 6b + 5b = 11b 11b + -3c + -5c = 0 Combine like terms: -3c + -5c = -8c 11b + -8c = 0 Solving 11b + -8c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8c' to each side of the equation. 11b + -8c + 8c = 0 + 8c Combine like terms: -8c + 8c = 0 11b + 0 = 0 + 8c 11b = 0 + 8c Remove the zero: 11b = 8c Divide each side by '11'. b = 0.7272727273c Simplifying b = 0.7272727273c
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