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Simplifying 6b + -3 + b = 2b + 12 Reorder the terms: -3 + 6b + b = 2b + 12 Combine like terms: 6b + b = 7b -3 + 7b = 2b + 12 Reorder the terms: -3 + 7b = 12 + 2b Solving -3 + 7b = 12 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -3 + 7b + -2b = 12 + 2b + -2b Combine like terms: 7b + -2b = 5b -3 + 5b = 12 + 2b + -2b Combine like terms: 2b + -2b = 0 -3 + 5b = 12 + 0 -3 + 5b = 12 Add '3' to each side of the equation. -3 + 3 + 5b = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5b = 12 + 3 5b = 12 + 3 Combine like terms: 12 + 3 = 15 5b = 15 Divide each side by '5'. b = 3 Simplifying b = 3
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