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Simplifying 3b + 8 = 12 + -1b Reorder the terms: 8 + 3b = 12 + -1b Solving 8 + 3b = 12 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 8 + 3b + b = 12 + -1b + b Combine like terms: 3b + b = 4b 8 + 4b = 12 + -1b + b Combine like terms: -1b + b = 0 8 + 4b = 12 + 0 8 + 4b = 12 Add '-8' to each side of the equation. 8 + -8 + 4b = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4b = 12 + -8 4b = 12 + -8 Combine like terms: 12 + -8 = 4 4b = 4 Divide each side by '4'. b = 1 Simplifying b = 1
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