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Simplifying -7b + -4c + 9b + -2c + 6 = 0 Reorder the terms: 6 + -7b + 9b + -4c + -2c = 0 Combine like terms: -7b + 9b = 2b 6 + 2b + -4c + -2c = 0 Combine like terms: -4c + -2c = -6c 6 + 2b + -6c = 0 Solving 6 + 2b + -6c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2b + -6 + -6c = 0 + -6 Reorder the terms: 6 + -6 + 2b + -6c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2b + -6c = 0 + -6 2b + -6c = 0 + -6 Combine like terms: 0 + -6 = -6 2b + -6c = -6 Add '6c' to each side of the equation. 2b + -6c + 6c = -6 + 6c Combine like terms: -6c + 6c = 0 2b + 0 = -6 + 6c 2b = -6 + 6c Divide each side by '2'. b = -3 + 3c Simplifying b = -3 + 3c
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