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Simplifying 5(b + 2) = 9(b + 1) Reorder the terms: 5(2 + b) = 9(b + 1) (2 * 5 + b * 5) = 9(b + 1) (10 + 5b) = 9(b + 1) Reorder the terms: 10 + 5b = 9(1 + b) 10 + 5b = (1 * 9 + b * 9) 10 + 5b = (9 + 9b) Solving 10 + 5b = 9 + 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. 10 + 5b + -9b = 9 + 9b + -9b Combine like terms: 5b + -9b = -4b 10 + -4b = 9 + 9b + -9b Combine like terms: 9b + -9b = 0 10 + -4b = 9 + 0 10 + -4b = 9 Add '-10' to each side of the equation. 10 + -10 + -4b = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -4b = 9 + -10 -4b = 9 + -10 Combine like terms: 9 + -10 = -1 -4b = -1 Divide each side by '-4'. b = 0.25 Simplifying b = 0.25
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