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Simplifying 3b + 12 = 5b + 2 Reorder the terms: 12 + 3b = 5b + 2 Reorder the terms: 12 + 3b = 2 + 5b Solving 12 + 3b = 2 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 12 + 3b + -5b = 2 + 5b + -5b Combine like terms: 3b + -5b = -2b 12 + -2b = 2 + 5b + -5b Combine like terms: 5b + -5b = 0 12 + -2b = 2 + 0 12 + -2b = 2 Add '-12' to each side of the equation. 12 + -12 + -2b = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -2b = 2 + -12 -2b = 2 + -12 Combine like terms: 2 + -12 = -10 -2b = -10 Divide each side by '-2'. b = 5 Simplifying b = 5
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