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Simplifying 12 + b = 42 + -2b Solving 12 + b = 42 + -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 + b + 2b = 42 + -2b + 2b Combine like terms: b + 2b = 3b 12 + 3b = 42 + -2b + 2b Combine like terms: -2b + 2b = 0 12 + 3b = 42 + 0 12 + 3b = 42 Add '-12' to each side of the equation. 12 + -12 + 3b = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 3b = 42 + -12 3b = 42 + -12 Combine like terms: 42 + -12 = 30 3b = 30 Divide each side by '3'. b = 10 Simplifying b = 10
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