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Simplifying (3b + 8) + (2d + 9) = 0 Reorder the terms: (8 + 3b) + (2d + 9) = 0 Remove parenthesis around (8 + 3b) 8 + 3b + (2d + 9) = 0 Reorder the terms: 8 + 3b + (9 + 2d) = 0 Remove parenthesis around (9 + 2d) 8 + 3b + 9 + 2d = 0 Reorder the terms: 8 + 9 + 3b + 2d = 0 Combine like terms: 8 + 9 = 17 17 + 3b + 2d = 0 Solving 17 + 3b + 2d = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + 3b + -17 + 2d = 0 + -17 Reorder the terms: 17 + -17 + 3b + 2d = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 3b + 2d = 0 + -17 3b + 2d = 0 + -17 Combine like terms: 0 + -17 = -17 3b + 2d = -17 Add '-2d' to each side of the equation. 3b + 2d + -2d = -17 + -2d Combine like terms: 2d + -2d = 0 3b + 0 = -17 + -2d 3b = -17 + -2d Divide each side by '3'. b = -5.666666667 + -0.6666666667d Simplifying b = -5.666666667 + -0.6666666667d
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