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Simplifying 4c + 12 + 3c + 2b = 0 Reorder the terms: 12 + 2b + 4c + 3c = 0 Combine like terms: 4c + 3c = 7c 12 + 2b + 7c = 0 Solving 12 + 2b + 7c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2b + -12 + 7c = 0 + -12 Reorder the terms: 12 + -12 + 2b + 7c = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2b + 7c = 0 + -12 2b + 7c = 0 + -12 Combine like terms: 0 + -12 = -12 2b + 7c = -12 Add '-7c' to each side of the equation. 2b + 7c + -7c = -12 + -7c Combine like terms: 7c + -7c = 0 2b + 0 = -12 + -7c 2b = -12 + -7c Divide each side by '2'. b = -6 + -3.5c Simplifying b = -6 + -3.5c
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