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Simplifying 2b + 7s + -4d + 8b + s + -4d = 0 Reorder the terms: 2b + 8b + -4d + -4d + 7s + s = 0 Combine like terms: 2b + 8b = 10b 10b + -4d + -4d + 7s + s = 0 Combine like terms: -4d + -4d = -8d 10b + -8d + 7s + s = 0 Combine like terms: 7s + s = 8s 10b + -8d + 8s = 0 Solving 10b + -8d + 8s = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8d' to each side of the equation. 10b + -8d + 8d + 8s = 0 + 8d Combine like terms: -8d + 8d = 0 10b + 0 + 8s = 0 + 8d 10b + 8s = 0 + 8d Remove the zero: 10b + 8s = 8d Add '-8s' to each side of the equation. 10b + 8s + -8s = 8d + -8s Combine like terms: 8s + -8s = 0 10b + 0 = 8d + -8s 10b = 8d + -8s Divide each side by '10'. b = 0.8d + -0.8s Simplifying b = 0.8d + -0.8s
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