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Simplifying 3(b + 2) + 5 = 8b + 13 Reorder the terms: 3(2 + b) + 5 = 8b + 13 (2 * 3 + b * 3) + 5 = 8b + 13 (6 + 3b) + 5 = 8b + 13 Reorder the terms: 6 + 5 + 3b = 8b + 13 Combine like terms: 6 + 5 = 11 11 + 3b = 8b + 13 Reorder the terms: 11 + 3b = 13 + 8b Solving 11 + 3b = 13 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 11 + 3b + -8b = 13 + 8b + -8b Combine like terms: 3b + -8b = -5b 11 + -5b = 13 + 8b + -8b Combine like terms: 8b + -8b = 0 11 + -5b = 13 + 0 11 + -5b = 13 Add '-11' to each side of the equation. 11 + -11 + -5b = 13 + -11 Combine like terms: 11 + -11 = 0 0 + -5b = 13 + -11 -5b = 13 + -11 Combine like terms: 13 + -11 = 2 -5b = 2 Divide each side by '-5'. b = -0.4 Simplifying b = -0.4
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