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Simplifying 3b + 12 = 4b + 3 + 2b Reorder the terms: 12 + 3b = 4b + 3 + 2b Reorder the terms: 12 + 3b = 3 + 4b + 2b Combine like terms: 4b + 2b = 6b 12 + 3b = 3 + 6b Solving 12 + 3b = 3 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 12 + 3b + -6b = 3 + 6b + -6b Combine like terms: 3b + -6b = -3b 12 + -3b = 3 + 6b + -6b Combine like terms: 6b + -6b = 0 12 + -3b = 3 + 0 12 + -3b = 3 Add '-12' to each side of the equation. 12 + -12 + -3b = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -3b = 3 + -12 -3b = 3 + -12 Combine like terms: 3 + -12 = -9 -3b = -9 Divide each side by '-3'. b = 3 Simplifying b = 3
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