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Simplifying 7(8b + 4) + 5 = 3 + 6(5 + b) Reorder the terms: 7(4 + 8b) + 5 = 3 + 6(5 + b) (4 * 7 + 8b * 7) + 5 = 3 + 6(5 + b) (28 + 56b) + 5 = 3 + 6(5 + b) Reorder the terms: 28 + 5 + 56b = 3 + 6(5 + b) Combine like terms: 28 + 5 = 33 33 + 56b = 3 + 6(5 + b) 33 + 56b = 3 + (5 * 6 + b * 6) 33 + 56b = 3 + (30 + 6b) Combine like terms: 3 + 30 = 33 33 + 56b = 33 + 6b Add '-33' to each side of the equation. 33 + -33 + 56b = 33 + -33 + 6b Combine like terms: 33 + -33 = 0 0 + 56b = 33 + -33 + 6b 56b = 33 + -33 + 6b Combine like terms: 33 + -33 = 0 56b = 0 + 6b 56b = 6b Solving 56b = 6b 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. 56b + -6b = 6b + -6b Combine like terms: 56b + -6b = 50b 50b = 6b + -6b Combine like terms: 6b + -6b = 0 50b = 0 Divide each side by '50'. b = 0.0 Simplifying b = 0.0
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