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Simplifying 8(b + 5) + 8 = 9b + 8 Reorder the terms: 8(5 + b) + 8 = 9b + 8 (5 * 8 + b * 8) + 8 = 9b + 8 (40 + 8b) + 8 = 9b + 8 Reorder the terms: 40 + 8 + 8b = 9b + 8 Combine like terms: 40 + 8 = 48 48 + 8b = 9b + 8 Reorder the terms: 48 + 8b = 8 + 9b Solving 48 + 8b = 8 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 48 + 8b + -9b = 8 + 9b + -9b Combine like terms: 8b + -9b = -1b 48 + -1b = 8 + 9b + -9b Combine like terms: 9b + -9b = 0 48 + -1b = 8 + 0 48 + -1b = 8 Add '-48' to each side of the equation. 48 + -48 + -1b = 8 + -48 Combine like terms: 48 + -48 = 0 0 + -1b = 8 + -48 -1b = 8 + -48 Combine like terms: 8 + -48 = -40 -1b = -40 Divide each side by '-1'. b = 40 Simplifying b = 40
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