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Simplifying 8c + -12b + -3(5c + -1b) = 0 Reorder the terms: 8c + -12b + -3(-1b + 5c) = 0 8c + -12b + (-1b * -3 + 5c * -3) = 0 8c + -12b + (3b + -15c) = 0 Reorder the terms: -12b + 3b + 8c + -15c = 0 Combine like terms: -12b + 3b = -9b -9b + 8c + -15c = 0 Combine like terms: 8c + -15c = -7c -9b + -7c = 0 Solving -9b + -7c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7c' to each side of the equation. -9b + -7c + 7c = 0 + 7c Combine like terms: -7c + 7c = 0 -9b + 0 = 0 + 7c -9b = 0 + 7c Remove the zero: -9b = 7c Divide each side by '-9'. b = -0.7777777778c Simplifying b = -0.7777777778c
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