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Simplifying 6b + 8 + 2b = 2(3b + 4) + 2 Reorder the terms: 8 + 6b + 2b = 2(3b + 4) + 2 Combine like terms: 6b + 2b = 8b 8 + 8b = 2(3b + 4) + 2 Reorder the terms: 8 + 8b = 2(4 + 3b) + 2 8 + 8b = (4 * 2 + 3b * 2) + 2 8 + 8b = (8 + 6b) + 2 Reorder the terms: 8 + 8b = 8 + 2 + 6b Combine like terms: 8 + 2 = 10 8 + 8b = 10 + 6b Solving 8 + 8b = 10 + 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. 8 + 8b + -6b = 10 + 6b + -6b Combine like terms: 8b + -6b = 2b 8 + 2b = 10 + 6b + -6b Combine like terms: 6b + -6b = 0 8 + 2b = 10 + 0 8 + 2b = 10 Add '-8' to each side of the equation. 8 + -8 + 2b = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 2b = 10 + -8 2b = 10 + -8 Combine like terms: 10 + -8 = 2 2b = 2 Divide each side by '2'. b = 1 Simplifying b = 1
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