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Simplifying b + -4 + -1(5 + 3d) + 2b + -1(5d + -1) = 0 b + -4 + (5 * -1 + 3d * -1) + 2b + -1(5d + -1) = 0 b + -4 + (-5 + -3d) + 2b + -1(5d + -1) = 0 Reorder the terms: b + -4 + -5 + -3d + 2b + -1(-1 + 5d) = 0 b + -4 + -5 + -3d + 2b + (-1 * -1 + 5d * -1) = 0 b + -4 + -5 + -3d + 2b + (1 + -5d) = 0 Reorder the terms: -4 + -5 + 1 + b + 2b + -3d + -5d = 0 Combine like terms: -4 + -5 = -9 -9 + 1 + b + 2b + -3d + -5d = 0 Combine like terms: -9 + 1 = -8 -8 + b + 2b + -3d + -5d = 0 Combine like terms: b + 2b = 3b -8 + 3b + -3d + -5d = 0 Combine like terms: -3d + -5d = -8d -8 + 3b + -8d = 0 Solving -8 + 3b + -8d = 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 + -8d = 0 + 8 Reorder the terms: -8 + 8 + 3b + -8d = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3b + -8d = 0 + 8 3b + -8d = 0 + 8 Combine like terms: 0 + 8 = 8 3b + -8d = 8 Add '8d' to each side of the equation. 3b + -8d + 8d = 8 + 8d Combine like terms: -8d + 8d = 0 3b + 0 = 8 + 8d 3b = 8 + 8d Divide each side by '3'. b = 2.666666667 + 2.666666667d Simplifying b = 2.666666667 + 2.666666667d
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