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Simplifying 2f + 3b = 7b + 12 Reorder the terms: 3b + 2f = 7b + 12 Reorder the terms: 3b + 2f = 12 + 7b Solving 3b + 2f = 12 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 3b + -7b + 2f = 12 + 7b + -7b Combine like terms: 3b + -7b = -4b -4b + 2f = 12 + 7b + -7b Combine like terms: 7b + -7b = 0 -4b + 2f = 12 + 0 -4b + 2f = 12 Add '-2f' to each side of the equation. -4b + 2f + -2f = 12 + -2f Combine like terms: 2f + -2f = 0 -4b + 0 = 12 + -2f -4b = 12 + -2f Divide each side by '-4'. b = -3 + 0.5f Simplifying b = -3 + 0.5f
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