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Simplifying 12(1 + b) = 2(b + -4) (1 * 12 + b * 12) = 2(b + -4) (12 + 12b) = 2(b + -4) Reorder the terms: 12 + 12b = 2(-4 + b) 12 + 12b = (-4 * 2 + b * 2) 12 + 12b = (-8 + 2b) Solving 12 + 12b = -8 + 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 + 12b + -2b = -8 + 2b + -2b Combine like terms: 12b + -2b = 10b 12 + 10b = -8 + 2b + -2b Combine like terms: 2b + -2b = 0 12 + 10b = -8 + 0 12 + 10b = -8 Add '-12' to each side of the equation. 12 + -12 + 10b = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 10b = -8 + -12 10b = -8 + -12 Combine like terms: -8 + -12 = -20 10b = -20 Divide each side by '10'. b = -2 Simplifying b = -2
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