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Simplifying 9(b + 2) + 7 = 5b + 8 Reorder the terms: 9(2 + b) + 7 = 5b + 8 (2 * 9 + b * 9) + 7 = 5b + 8 (18 + 9b) + 7 = 5b + 8 Reorder the terms: 18 + 7 + 9b = 5b + 8 Combine like terms: 18 + 7 = 25 25 + 9b = 5b + 8 Reorder the terms: 25 + 9b = 8 + 5b Solving 25 + 9b = 8 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 25 + 9b + -5b = 8 + 5b + -5b Combine like terms: 9b + -5b = 4b 25 + 4b = 8 + 5b + -5b Combine like terms: 5b + -5b = 0 25 + 4b = 8 + 0 25 + 4b = 8 Add '-25' to each side of the equation. 25 + -25 + 4b = 8 + -25 Combine like terms: 25 + -25 = 0 0 + 4b = 8 + -25 4b = 8 + -25 Combine like terms: 8 + -25 = -17 4b = -17 Divide each side by '4'. b = -4.25 Simplifying b = -4.25
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