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Simplifying 2(3b + 1) = 6 + -2b Reorder the terms: 2(1 + 3b) = 6 + -2b (1 * 2 + 3b * 2) = 6 + -2b (2 + 6b) = 6 + -2b Solving 2 + 6b = 6 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 2 + 6b + 2b = 6 + -2b + 2b Combine like terms: 6b + 2b = 8b 2 + 8b = 6 + -2b + 2b Combine like terms: -2b + 2b = 0 2 + 8b = 6 + 0 2 + 8b = 6 Add '-2' to each side of the equation. 2 + -2 + 8b = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 8b = 6 + -2 8b = 6 + -2 Combine like terms: 6 + -2 = 4 8b = 4 Divide each side by '8'. b = 0.5 Simplifying b = 0.5
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