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Simplifying b(b + 8) = b(b + 7) + 5 Reorder the terms: b(8 + b) = b(b + 7) + 5 (8 * b + b * b) = b(b + 7) + 5 (8b + b2) = b(b + 7) + 5 Reorder the terms: 8b + b2 = b(7 + b) + 5 8b + b2 = (7 * b + b * b) + 5 8b + b2 = (7b + b2) + 5 Reorder the terms: 8b + b2 = 5 + 7b + b2 Add '-1b2' to each side of the equation. 8b + b2 + -1b2 = 5 + 7b + b2 + -1b2 Combine like terms: b2 + -1b2 = 0 8b + 0 = 5 + 7b + b2 + -1b2 8b = 5 + 7b + b2 + -1b2 Combine like terms: b2 + -1b2 = 0 8b = 5 + 7b + 0 8b = 5 + 7b Solving 8b = 5 + 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. 8b + -7b = 5 + 7b + -7b Combine like terms: 8b + -7b = 1b 1b = 5 + 7b + -7b Combine like terms: 7b + -7b = 0 1b = 5 + 0 1b = 5 Divide each side by '1'. b = 5 Simplifying b = 5
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