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Simplifying (10)(2) + (B)(40) = (10 + B)(4) Multiply 10 * 2 20 + (B)(40) = (10 + B)(4) Reorder the terms for easier multiplication: 20 + 40B = (10 + B)(4) Reorder the terms for easier multiplication: 20 + 40B = 4(10 + B) 20 + 40B = (10 * 4 + B * 4) 20 + 40B = (40 + 4B) Solving 20 + 40B = 40 + 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. 20 + 40B + -4B = 40 + 4B + -4B Combine like terms: 40B + -4B = 36B 20 + 36B = 40 + 4B + -4B Combine like terms: 4B + -4B = 0 20 + 36B = 40 + 0 20 + 36B = 40 Add '-20' to each side of the equation. 20 + -20 + 36B = 40 + -20 Combine like terms: 20 + -20 = 0 0 + 36B = 40 + -20 36B = 40 + -20 Combine like terms: 40 + -20 = 20 36B = 20 Divide each side by '36'. B = 0.5555555556 Simplifying B = 0.5555555556
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