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Simplifying 4(2b + 1) + 5(7 + -3b) = 5 Reorder the terms: 4(1 + 2b) + 5(7 + -3b) = 5 (1 * 4 + 2b * 4) + 5(7 + -3b) = 5 (4 + 8b) + 5(7 + -3b) = 5 4 + 8b + (7 * 5 + -3b * 5) = 5 4 + 8b + (35 + -15b) = 5 Reorder the terms: 4 + 35 + 8b + -15b = 5 Combine like terms: 4 + 35 = 39 39 + 8b + -15b = 5 Combine like terms: 8b + -15b = -7b 39 + -7b = 5 Solving 39 + -7b = 5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -7b = 5 + -39 Combine like terms: 39 + -39 = 0 0 + -7b = 5 + -39 -7b = 5 + -39 Combine like terms: 5 + -39 = -34 -7b = -34 Divide each side by '-7'. b = 4.857142857 Simplifying b = 4.857142857
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