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Simplifying 2b + 2(2b + 6) = 2b + 3(b + 2) Reorder the terms: 2b + 2(6 + 2b) = 2b + 3(b + 2) 2b + (6 * 2 + 2b * 2) = 2b + 3(b + 2) 2b + (12 + 4b) = 2b + 3(b + 2) Reorder the terms: 12 + 2b + 4b = 2b + 3(b + 2) Combine like terms: 2b + 4b = 6b 12 + 6b = 2b + 3(b + 2) Reorder the terms: 12 + 6b = 2b + 3(2 + b) 12 + 6b = 2b + (2 * 3 + b * 3) 12 + 6b = 2b + (6 + 3b) Reorder the terms: 12 + 6b = 6 + 2b + 3b Combine like terms: 2b + 3b = 5b 12 + 6b = 6 + 5b Solving 12 + 6b = 6 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 12 + 6b + -5b = 6 + 5b + -5b Combine like terms: 6b + -5b = 1b 12 + 1b = 6 + 5b + -5b Combine like terms: 5b + -5b = 0 12 + 1b = 6 + 0 12 + 1b = 6 Add '-12' to each side of the equation. 12 + -12 + 1b = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 1b = 6 + -12 1b = 6 + -12 Combine like terms: 6 + -12 = -6 1b = -6 Divide each side by '1'. b = -6 Simplifying b = -6
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