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Simplifying -3(-8 + 4b) = -32 + -5b (-8 * -3 + 4b * -3) = -32 + -5b (24 + -12b) = -32 + -5b Solving 24 + -12b = -32 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 24 + -12b + 5b = -32 + -5b + 5b Combine like terms: -12b + 5b = -7b 24 + -7b = -32 + -5b + 5b Combine like terms: -5b + 5b = 0 24 + -7b = -32 + 0 24 + -7b = -32 Add '-24' to each side of the equation. 24 + -24 + -7b = -32 + -24 Combine like terms: 24 + -24 = 0 0 + -7b = -32 + -24 -7b = -32 + -24 Combine like terms: -32 + -24 = -56 -7b = -56 Divide each side by '-7'. b = 8 Simplifying b = 8
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