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Simplifying 5b + 2(3b + 1) = 3b + 5 Reorder the terms: 5b + 2(1 + 3b) = 3b + 5 5b + (1 * 2 + 3b * 2) = 3b + 5 5b + (2 + 6b) = 3b + 5 Reorder the terms: 2 + 5b + 6b = 3b + 5 Combine like terms: 5b + 6b = 11b 2 + 11b = 3b + 5 Reorder the terms: 2 + 11b = 5 + 3b Solving 2 + 11b = 5 + 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. 2 + 11b + -3b = 5 + 3b + -3b Combine like terms: 11b + -3b = 8b 2 + 8b = 5 + 3b + -3b Combine like terms: 3b + -3b = 0 2 + 8b = 5 + 0 2 + 8b = 5 Add '-2' to each side of the equation. 2 + -2 + 8b = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 8b = 5 + -2 8b = 5 + -2 Combine like terms: 5 + -2 = 3 8b = 3 Divide each side by '8'. b = 0.375 Simplifying b = 0.375
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