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Simplifying 4(2b + -3c) + 2(b + 6c) = 0 (2b * 4 + -3c * 4) + 2(b + 6c) = 0 (8b + -12c) + 2(b + 6c) = 0 8b + -12c + (b * 2 + 6c * 2) = 0 8b + -12c + (2b + 12c) = 0 Reorder the terms: 8b + 2b + -12c + 12c = 0 Combine like terms: 8b + 2b = 10b 10b + -12c + 12c = 0 Combine like terms: -12c + 12c = 0 10b + 0 = 0 10b = 0 Solving 10b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '10'. b = 0.0 Simplifying b = 0.0
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