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Simplifying 9b + 6c + -7b + 3c + 5d + d = 0 Reorder the terms: 9b + -7b + 6c + 3c + 5d + d = 0 Combine like terms: 9b + -7b = 2b 2b + 6c + 3c + 5d + d = 0 Combine like terms: 6c + 3c = 9c 2b + 9c + 5d + d = 0 Combine like terms: 5d + d = 6d 2b + 9c + 6d = 0 Solving 2b + 9c + 6d = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9c' to each side of the equation. 2b + 9c + -9c + 6d = 0 + -9c Combine like terms: 9c + -9c = 0 2b + 0 + 6d = 0 + -9c 2b + 6d = 0 + -9c Remove the zero: 2b + 6d = -9c Add '-6d' to each side of the equation. 2b + 6d + -6d = -9c + -6d Combine like terms: 6d + -6d = 0 2b + 0 = -9c + -6d 2b = -9c + -6d Divide each side by '2'. b = -4.5c + -3d Simplifying b = -4.5c + -3d
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