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Simplifying 4b + 9 = 5(b + 2) Reorder the terms: 9 + 4b = 5(b + 2) Reorder the terms: 9 + 4b = 5(2 + b) 9 + 4b = (2 * 5 + b * 5) 9 + 4b = (10 + 5b) Solving 9 + 4b = 10 + 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. 9 + 4b + -5b = 10 + 5b + -5b Combine like terms: 4b + -5b = -1b 9 + -1b = 10 + 5b + -5b Combine like terms: 5b + -5b = 0 9 + -1b = 10 + 0 9 + -1b = 10 Add '-9' to each side of the equation. 9 + -9 + -1b = 10 + -9 Combine like terms: 9 + -9 = 0 0 + -1b = 10 + -9 -1b = 10 + -9 Combine like terms: 10 + -9 = 1 -1b = 1 Divide each side by '-1'. b = -1 Simplifying b = -1
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