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Simplifying -4(b + -6) = -24 + 2b Reorder the terms: -4(-6 + b) = -24 + 2b (-6 * -4 + b * -4) = -24 + 2b (24 + -4b) = -24 + 2b Solving 24 + -4b = -24 + 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. 24 + -4b + -2b = -24 + 2b + -2b Combine like terms: -4b + -2b = -6b 24 + -6b = -24 + 2b + -2b Combine like terms: 2b + -2b = 0 24 + -6b = -24 + 0 24 + -6b = -24 Add '-24' to each side of the equation. 24 + -24 + -6b = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -6b = -24 + -24 -6b = -24 + -24 Combine like terms: -24 + -24 = -48 -6b = -48 Divide each side by '-6'. b = 8 Simplifying b = 8
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