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Simplifying 4(b + 1) = -2(b + 2) Reorder the terms: 4(1 + b) = -2(b + 2) (1 * 4 + b * 4) = -2(b + 2) (4 + 4b) = -2(b + 2) Reorder the terms: 4 + 4b = -2(2 + b) 4 + 4b = (2 * -2 + b * -2) 4 + 4b = (-4 + -2b) Solving 4 + 4b = -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 + 4b + 2b = -4 + -2b + 2b Combine like terms: 4b + 2b = 6b 4 + 6b = -4 + -2b + 2b Combine like terms: -2b + 2b = 0 4 + 6b = -4 + 0 4 + 6b = -4 Add '-4' to each side of the equation. 4 + -4 + 6b = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 6b = -4 + -4 6b = -4 + -4 Combine like terms: -4 + -4 = -8 6b = -8 Divide each side by '6'. b = -1.333333333 Simplifying b = -1.333333333
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