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Simplifying (6b + 3c) + (-2b + -8c) = 0 Remove parenthesis around (6b + 3c) 6b + 3c + (-2b + -8c) = 0 Remove parenthesis around (-2b + -8c) 6b + 3c + -2b + -8c = 0 Reorder the terms: 6b + -2b + 3c + -8c = 0 Combine like terms: 6b + -2b = 4b 4b + 3c + -8c = 0 Combine like terms: 3c + -8c = -5c 4b + -5c = 0 Solving 4b + -5c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5c' to each side of the equation. 4b + -5c + 5c = 0 + 5c Combine like terms: -5c + 5c = 0 4b + 0 = 0 + 5c 4b = 0 + 5c Remove the zero: 4b = 5c Divide each side by '4'. b = 1.25c Simplifying b = 1.25c
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