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Simplifying 7d + 8b + -3d + 3c = 0 Reorder the terms: 8b + 3c + 7d + -3d = 0 Combine like terms: 7d + -3d = 4d 8b + 3c + 4d = 0 Solving 8b + 3c + 4d = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3c' to each side of the equation. 8b + 3c + -3c + 4d = 0 + -3c Combine like terms: 3c + -3c = 0 8b + 0 + 4d = 0 + -3c 8b + 4d = 0 + -3c Remove the zero: 8b + 4d = -3c Add '-4d' to each side of the equation. 8b + 4d + -4d = -3c + -4d Combine like terms: 4d + -4d = 0 8b + 0 = -3c + -4d 8b = -3c + -4d Divide each side by '8'. b = -0.375c + -0.5d Simplifying b = -0.375c + -0.5d
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