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Simplifying 5b + 1 = 2(b + 2) Reorder the terms: 1 + 5b = 2(b + 2) Reorder the terms: 1 + 5b = 2(2 + b) 1 + 5b = (2 * 2 + b * 2) 1 + 5b = (4 + 2b) Solving 1 + 5b = 4 + 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 + 5b + -2b = 4 + 2b + -2b Combine like terms: 5b + -2b = 3b 1 + 3b = 4 + 2b + -2b Combine like terms: 2b + -2b = 0 1 + 3b = 4 + 0 1 + 3b = 4 Add '-1' to each side of the equation. 1 + -1 + 3b = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 3b = 4 + -1 3b = 4 + -1 Combine like terms: 4 + -1 = 3 3b = 3 Divide each side by '3'. b = 1 Simplifying b = 1
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