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Simplifying 15 + b = 5b + 1 + 3b Reorder the terms: 15 + b = 1 + 5b + 3b Combine like terms: 5b + 3b = 8b 15 + b = 1 + 8b Solving 15 + b = 1 + 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. 15 + b + -8b = 1 + 8b + -8b Combine like terms: b + -8b = -7b 15 + -7b = 1 + 8b + -8b Combine like terms: 8b + -8b = 0 15 + -7b = 1 + 0 15 + -7b = 1 Add '-15' to each side of the equation. 15 + -15 + -7b = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -7b = 1 + -15 -7b = 1 + -15 Combine like terms: 1 + -15 = -14 -7b = -14 Divide each side by '-7'. b = 2 Simplifying b = 2
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