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Simplifying 3b + 6(b + 2) = 3b + 2 Reorder the terms: 3b + 6(2 + b) = 3b + 2 3b + (2 * 6 + b * 6) = 3b + 2 3b + (12 + 6b) = 3b + 2 Reorder the terms: 12 + 3b + 6b = 3b + 2 Combine like terms: 3b + 6b = 9b 12 + 9b = 3b + 2 Reorder the terms: 12 + 9b = 2 + 3b Solving 12 + 9b = 2 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 12 + 9b + -3b = 2 + 3b + -3b Combine like terms: 9b + -3b = 6b 12 + 6b = 2 + 3b + -3b Combine like terms: 3b + -3b = 0 12 + 6b = 2 + 0 12 + 6b = 2 Add '-12' to each side of the equation. 12 + -12 + 6b = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 6b = 2 + -12 6b = 2 + -12 Combine like terms: 2 + -12 = -10 6b = -10 Divide each side by '6'. b = -1.666666667 Simplifying b = -1.666666667
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