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Simplifying -2(b + 4) = -8b + -32 Reorder the terms: -2(4 + b) = -8b + -32 (4 * -2 + b * -2) = -8b + -32 (-8 + -2b) = -8b + -32 Reorder the terms: -8 + -2b = -32 + -8b Solving -8 + -2b = -32 + -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. -8 + -2b + 8b = -32 + -8b + 8b Combine like terms: -2b + 8b = 6b -8 + 6b = -32 + -8b + 8b Combine like terms: -8b + 8b = 0 -8 + 6b = -32 + 0 -8 + 6b = -32 Add '8' to each side of the equation. -8 + 8 + 6b = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 6b = -32 + 8 6b = -32 + 8 Combine like terms: -32 + 8 = -24 6b = -24 Divide each side by '6'. b = -4 Simplifying b = -4
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