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Simplifying 12 + 2b = 5b + 30 Reorder the terms: 12 + 2b = 30 + 5b Solving 12 + 2b = 30 + 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 + 2b + -5b = 30 + 5b + -5b Combine like terms: 2b + -5b = -3b 12 + -3b = 30 + 5b + -5b Combine like terms: 5b + -5b = 0 12 + -3b = 30 + 0 12 + -3b = 30 Add '-12' to each side of the equation. 12 + -12 + -3b = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -3b = 30 + -12 -3b = 30 + -12 Combine like terms: 30 + -12 = 18 -3b = 18 Divide each side by '-3'. b = -6 Simplifying b = -6
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