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Simplifying -4(2b + 8) = 16 + -6b Reorder the terms: -4(8 + 2b) = 16 + -6b (8 * -4 + 2b * -4) = 16 + -6b (-32 + -8b) = 16 + -6b Solving -32 + -8b = 16 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -32 + -8b + 6b = 16 + -6b + 6b Combine like terms: -8b + 6b = -2b -32 + -2b = 16 + -6b + 6b Combine like terms: -6b + 6b = 0 -32 + -2b = 16 + 0 -32 + -2b = 16 Add '32' to each side of the equation. -32 + 32 + -2b = 16 + 32 Combine like terms: -32 + 32 = 0 0 + -2b = 16 + 32 -2b = 16 + 32 Combine like terms: 16 + 32 = 48 -2b = 48 Divide each side by '-2'. b = -24 Simplifying b = -24
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