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Simplifying 5b + -7c + -1(3b + -9c) = 0 5b + -7c + (3b * -1 + -9c * -1) = 0 5b + -7c + (-3b + 9c) = 0 Reorder the terms: 5b + -3b + -7c + 9c = 0 Combine like terms: 5b + -3b = 2b 2b + -7c + 9c = 0 Combine like terms: -7c + 9c = 2c 2b + 2c = 0 Solving 2b + 2c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2c' to each side of the equation. 2b + 2c + -2c = 0 + -2c Combine like terms: 2c + -2c = 0 2b + 0 = 0 + -2c 2b = 0 + -2c Remove the zero: 2b = -2c Divide each side by '2'. b = -1c Simplifying b = -1c
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