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Simplifying (4b + -2c) + -1(2b + -3c) = 0 Remove parenthesis around (4b + -2c) 4b + -2c + -1(2b + -3c) = 0 4b + -2c + (2b * -1 + -3c * -1) = 0 4b + -2c + (-2b + 3c) = 0 Reorder the terms: 4b + -2b + -2c + 3c = 0 Combine like terms: 4b + -2b = 2b 2b + -2c + 3c = 0 Combine like terms: -2c + 3c = 1c 2b + 1c = 0 Solving 2b + 1c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1c' to each side of the equation. 2b + 1c + -1c = 0 + -1c Combine like terms: 1c + -1c = 0 2b + 0 = 0 + -1c 2b = 0 + -1c Remove the zero: 2b = -1c Divide each side by '2'. b = -0.5c Simplifying b = -0.5c
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