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Simplifying 3(9 + b) = 6(b + 3) (9 * 3 + b * 3) = 6(b + 3) (27 + 3b) = 6(b + 3) Reorder the terms: 27 + 3b = 6(3 + b) 27 + 3b = (3 * 6 + b * 6) 27 + 3b = (18 + 6b) Solving 27 + 3b = 18 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 27 + 3b + -6b = 18 + 6b + -6b Combine like terms: 3b + -6b = -3b 27 + -3b = 18 + 6b + -6b Combine like terms: 6b + -6b = 0 27 + -3b = 18 + 0 27 + -3b = 18 Add '-27' to each side of the equation. 27 + -27 + -3b = 18 + -27 Combine like terms: 27 + -27 = 0 0 + -3b = 18 + -27 -3b = 18 + -27 Combine like terms: 18 + -27 = -9 -3b = -9 Divide each side by '-3'. b = 3 Simplifying b = 3
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