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Simplifying 5d + 3b + 8 = 4d + 6b Reorder the terms: 8 + 3b + 5d = 4d + 6b Reorder the terms: 8 + 3b + 5d = 6b + 4d Solving 8 + 3b + 5d = 6b + 4d Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 8 + 3b + -6b + 5d = 6b + -6b + 4d Combine like terms: 3b + -6b = -3b 8 + -3b + 5d = 6b + -6b + 4d Combine like terms: 6b + -6b = 0 8 + -3b + 5d = 0 + 4d 8 + -3b + 5d = 4d Add '-8' to each side of the equation. 8 + -3b + -8 + 5d = -8 + 4d Reorder the terms: 8 + -8 + -3b + 5d = -8 + 4d Combine like terms: 8 + -8 = 0 0 + -3b + 5d = -8 + 4d -3b + 5d = -8 + 4d Add '-5d' to each side of the equation. -3b + 5d + -5d = -8 + 4d + -5d Combine like terms: 5d + -5d = 0 -3b + 0 = -8 + 4d + -5d -3b = -8 + 4d + -5d Combine like terms: 4d + -5d = -1d -3b = -8 + -1d Divide each side by '-3'. b = 2.666666667 + 0.3333333333d Simplifying b = 2.666666667 + 0.3333333333d
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