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Simplifying 3b + 12 = 27 + -2b Reorder the terms: 12 + 3b = 27 + -2b Solving 12 + 3b = 27 + -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. 12 + 3b + 2b = 27 + -2b + 2b Combine like terms: 3b + 2b = 5b 12 + 5b = 27 + -2b + 2b Combine like terms: -2b + 2b = 0 12 + 5b = 27 + 0 12 + 5b = 27 Add '-12' to each side of the equation. 12 + -12 + 5b = 27 + -12 Combine like terms: 12 + -12 = 0 0 + 5b = 27 + -12 5b = 27 + -12 Combine like terms: 27 + -12 = 15 5b = 15 Divide each side by '5'. b = 3 Simplifying b = 3
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