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Simplifying 3b + 2 = 6(3 + -1b) Reorder the terms: 2 + 3b = 6(3 + -1b) 2 + 3b = (3 * 6 + -1b * 6) 2 + 3b = (18 + -6b) Solving 2 + 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. 2 + 3b + 6b = 18 + -6b + 6b Combine like terms: 3b + 6b = 9b 2 + 9b = 18 + -6b + 6b Combine like terms: -6b + 6b = 0 2 + 9b = 18 + 0 2 + 9b = 18 Add '-2' to each side of the equation. 2 + -2 + 9b = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 9b = 18 + -2 9b = 18 + -2 Combine like terms: 18 + -2 = 16 9b = 16 Divide each side by '9'. b = 1.777777778 Simplifying b = 1.777777778
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