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Simplifying 2b + 1 + 2b = 7 + -2b Reorder the terms: 1 + 2b + 2b = 7 + -2b Combine like terms: 2b + 2b = 4b 1 + 4b = 7 + -2b Solving 1 + 4b = 7 + -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. 1 + 4b + 2b = 7 + -2b + 2b Combine like terms: 4b + 2b = 6b 1 + 6b = 7 + -2b + 2b Combine like terms: -2b + 2b = 0 1 + 6b = 7 + 0 1 + 6b = 7 Add '-1' to each side of the equation. 1 + -1 + 6b = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 6b = 7 + -1 6b = 7 + -1 Combine like terms: 7 + -1 = 6 6b = 6 Divide each side by '6'. b = 1 Simplifying b = 1
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