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Simplifying 5d + -3b + 8 + -3d + 6b = 0 Reorder the terms: 8 + -3b + 6b + 5d + -3d = 0 Combine like terms: -3b + 6b = 3b 8 + 3b + 5d + -3d = 0 Combine like terms: 5d + -3d = 2d 8 + 3b + 2d = 0 Solving 8 + 3b + 2d = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 3b + -8 + 2d = 0 + -8 Reorder the terms: 8 + -8 + 3b + 2d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3b + 2d = 0 + -8 3b + 2d = 0 + -8 Combine like terms: 0 + -8 = -8 3b + 2d = -8 Add '-2d' to each side of the equation. 3b + 2d + -2d = -8 + -2d Combine like terms: 2d + -2d = 0 3b + 0 = -8 + -2d 3b = -8 + -2d Divide each side by '3'. b = -2.666666667 + -0.6666666667d Simplifying b = -2.666666667 + -0.6666666667d
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