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Simplifying 5d + -3 + 2b = 4b + 9 Reorder the terms: -3 + 2b + 5d = 4b + 9 Reorder the terms: -3 + 2b + 5d = 9 + 4b Solving -3 + 2b + 5d = 9 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -3 + 2b + -4b + 5d = 9 + 4b + -4b Combine like terms: 2b + -4b = -2b -3 + -2b + 5d = 9 + 4b + -4b Combine like terms: 4b + -4b = 0 -3 + -2b + 5d = 9 + 0 -3 + -2b + 5d = 9 Add '3' to each side of the equation. -3 + -2b + 3 + 5d = 9 + 3 Reorder the terms: -3 + 3 + -2b + 5d = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -2b + 5d = 9 + 3 -2b + 5d = 9 + 3 Combine like terms: 9 + 3 = 12 -2b + 5d = 12 Add '-5d' to each side of the equation. -2b + 5d + -5d = 12 + -5d Combine like terms: 5d + -5d = 0 -2b + 0 = 12 + -5d -2b = 12 + -5d Divide each side by '-2'. b = -6 + 2.5d Simplifying b = -6 + 2.5d
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