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