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Simplifying 3b + 2b + 12 = 3b + -6 Reorder the terms: 12 + 3b + 2b = 3b + -6 Combine like terms: 3b + 2b = 5b 12 + 5b = 3b + -6 Reorder the terms: 12 + 5b = -6 + 3b Solving 12 + 5b = -6 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 12 + 5b + -3b = -6 + 3b + -3b Combine like terms: 5b + -3b = 2b 12 + 2b = -6 + 3b + -3b Combine like terms: 3b + -3b = 0 12 + 2b = -6 + 0 12 + 2b = -6 Add '-12' to each side of the equation. 12 + -12 + 2b = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 2b = -6 + -12 2b = -6 + -12 Combine like terms: -6 + -12 = -18 2b = -18 Divide each side by '2'. b = -9 Simplifying b = -9
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