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Simplifying (6b + 7c) + -1(8b + -3c) = 0 Remove parenthesis around (6b + 7c) 6b + 7c + -1(8b + -3c) = 0 6b + 7c + (8b * -1 + -3c * -1) = 0 6b + 7c + (-8b + 3c) = 0 Reorder the terms: 6b + -8b + 7c + 3c = 0 Combine like terms: 6b + -8b = -2b -2b + 7c + 3c = 0 Combine like terms: 7c + 3c = 10c -2b + 10c = 0 Solving -2b + 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. -2b + 10c + -10c = 0 + -10c Combine like terms: 10c + -10c = 0 -2b + 0 = 0 + -10c -2b = 0 + -10c Remove the zero: -2b = -10c Divide each side by '-2'. b = 5c Simplifying b = 5c
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