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Simplifying 8b + 3(2b + c) + -3 = 0 8b + (2b * 3 + c * 3) + -3 = 0 8b + (6b + 3c) + -3 = 0 Reorder the terms: -3 + 8b + 6b + 3c = 0 Combine like terms: 8b + 6b = 14b -3 + 14b + 3c = 0 Solving -3 + 14b + 3c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 14b + 3 + 3c = 0 + 3 Reorder the terms: -3 + 3 + 14b + 3c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 14b + 3c = 0 + 3 14b + 3c = 0 + 3 Combine like terms: 0 + 3 = 3 14b + 3c = 3 Add '-3c' to each side of the equation. 14b + 3c + -3c = 3 + -3c Combine like terms: 3c + -3c = 0 14b + 0 = 3 + -3c 14b = 3 + -3c Divide each side by '14'. b = 0.2142857143 + -0.2142857143c Simplifying b = 0.2142857143 + -0.2142857143c
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