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Simplifying 4(-8b + -6) = 12 + 4b Reorder the terms: 4(-6 + -8b) = 12 + 4b (-6 * 4 + -8b * 4) = 12 + 4b (-24 + -32b) = 12 + 4b Solving -24 + -32b = 12 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -24 + -32b + -4b = 12 + 4b + -4b Combine like terms: -32b + -4b = -36b -24 + -36b = 12 + 4b + -4b Combine like terms: 4b + -4b = 0 -24 + -36b = 12 + 0 -24 + -36b = 12 Add '24' to each side of the equation. -24 + 24 + -36b = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -36b = 12 + 24 -36b = 12 + 24 Combine like terms: 12 + 24 = 36 -36b = 36 Divide each side by '-36'. b = -1 Simplifying b = -1
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