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Simplifying 3b + 7d + -1b + 3d = 0 Reorder the terms: 3b + -1b + 7d + 3d = 0 Combine like terms: 3b + -1b = 2b 2b + 7d + 3d = 0 Combine like terms: 7d + 3d = 10d 2b + 10d = 0 Solving 2b + 10d = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10d' to each side of the equation. 2b + 10d + -10d = 0 + -10d Combine like terms: 10d + -10d = 0 2b + 0 = 0 + -10d 2b = 0 + -10d Remove the zero: 2b = -10d Divide each side by '2'. b = -5d Simplifying b = -5d
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