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Simplifying 5b + -7c + 12b + 3c + -4b = 0 Reorder the terms: 5b + 12b + -4b + -7c + 3c = 0 Combine like terms: 5b + 12b = 17b 17b + -4b + -7c + 3c = 0 Combine like terms: 17b + -4b = 13b 13b + -7c + 3c = 0 Combine like terms: -7c + 3c = -4c 13b + -4c = 0 Solving 13b + -4c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4c' to each side of the equation. 13b + -4c + 4c = 0 + 4c Combine like terms: -4c + 4c = 0 13b + 0 = 0 + 4c 13b = 0 + 4c Remove the zero: 13b = 4c Divide each side by '13'. b = 0.3076923077c Simplifying b = 0.3076923077c
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