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Simplifying 8b + -7c + -1(-1b + -1c) = 0 8b + -7c + (-1b * -1 + -1c * -1) = 0 8b + -7c + (1b + 1c) = 0 Reorder the terms: 8b + 1b + -7c + 1c = 0 Combine like terms: 8b + 1b = 9b 9b + -7c + 1c = 0 Combine like terms: -7c + 1c = -6c 9b + -6c = 0 Solving 9b + -6c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6c' to each side of the equation. 9b + -6c + 6c = 0 + 6c Combine like terms: -6c + 6c = 0 9b + 0 = 0 + 6c 9b = 0 + 6c Remove the zero: 9b = 6c Divide each side by '9'. b = 0.6666666667c Simplifying b = 0.6666666667c
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