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Simplifying 4(b + 7) = 9(b + 2) Reorder the terms: 4(7 + b) = 9(b + 2) (7 * 4 + b * 4) = 9(b + 2) (28 + 4b) = 9(b + 2) Reorder the terms: 28 + 4b = 9(2 + b) 28 + 4b = (2 * 9 + b * 9) 28 + 4b = (18 + 9b) Solving 28 + 4b = 18 + 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. 28 + 4b + -9b = 18 + 9b + -9b Combine like terms: 4b + -9b = -5b 28 + -5b = 18 + 9b + -9b Combine like terms: 9b + -9b = 0 28 + -5b = 18 + 0 28 + -5b = 18 Add '-28' to each side of the equation. 28 + -28 + -5b = 18 + -28 Combine like terms: 28 + -28 = 0 0 + -5b = 18 + -28 -5b = 18 + -28 Combine like terms: 18 + -28 = -10 -5b = -10 Divide each side by '-5'. b = 2 Simplifying b = 2
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