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Simplifying 1 + 2b = 3(3 + -2b) 1 + 2b = (3 * 3 + -2b * 3) 1 + 2b = (9 + -6b) Solving 1 + 2b = 9 + -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. 1 + 2b + 6b = 9 + -6b + 6b Combine like terms: 2b + 6b = 8b 1 + 8b = 9 + -6b + 6b Combine like terms: -6b + 6b = 0 1 + 8b = 9 + 0 1 + 8b = 9 Add '-1' to each side of the equation. 1 + -1 + 8b = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 8b = 9 + -1 8b = 9 + -1 Combine like terms: 9 + -1 = 8 8b = 8 Divide each side by '8'. b = 1 Simplifying b = 1
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