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Simplifying 4(1 + 3b) = 2(b + -2) (1 * 4 + 3b * 4) = 2(b + -2) (4 + 12b) = 2(b + -2) Reorder the terms: 4 + 12b = 2(-2 + b) 4 + 12b = (-2 * 2 + b * 2) 4 + 12b = (-4 + 2b) Solving 4 + 12b = -4 + 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. 4 + 12b + -2b = -4 + 2b + -2b Combine like terms: 12b + -2b = 10b 4 + 10b = -4 + 2b + -2b Combine like terms: 2b + -2b = 0 4 + 10b = -4 + 0 4 + 10b = -4 Add '-4' to each side of the equation. 4 + -4 + 10b = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 10b = -4 + -4 10b = -4 + -4 Combine like terms: -4 + -4 = -8 10b = -8 Divide each side by '10'. b = -0.8 Simplifying b = -0.8
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