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Simplifying (7b + -8c) + -1(3b + 2c) = 0 Remove parenthesis around (7b + -8c) 7b + -8c + -1(3b + 2c) = 0 7b + -8c + (3b * -1 + 2c * -1) = 0 7b + -8c + (-3b + -2c) = 0 Reorder the terms: 7b + -3b + -8c + -2c = 0 Combine like terms: 7b + -3b = 4b 4b + -8c + -2c = 0 Combine like terms: -8c + -2c = -10c 4b + -10c = 0 Solving 4b + -10c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10c' to each side of the equation. 4b + -10c + 10c = 0 + 10c Combine like terms: -10c + 10c = 0 4b + 0 = 0 + 10c 4b = 0 + 10c Remove the zero: 4b = 10c Divide each side by '4'. b = 2.5c Simplifying b = 2.5c
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