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