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Simplifying 12 + 6b = 2(-3 + 2b) + 2 12 + 6b = (-3 * 2 + 2b * 2) + 2 12 + 6b = (-6 + 4b) + 2 Reorder the terms: 12 + 6b = -6 + 2 + 4b Combine like terms: -6 + 2 = -4 12 + 6b = -4 + 4b Solving 12 + 6b = -4 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 12 + 6b + -4b = -4 + 4b + -4b Combine like terms: 6b + -4b = 2b 12 + 2b = -4 + 4b + -4b Combine like terms: 4b + -4b = 0 12 + 2b = -4 + 0 12 + 2b = -4 Add '-12' to each side of the equation. 12 + -12 + 2b = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 2b = -4 + -12 2b = -4 + -12 Combine like terms: -4 + -12 = -16 2b = -16 Divide each side by '2'. b = -8 Simplifying b = -8
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