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Simplifying 12(-2b + 10) = -5b + -32 Reorder the terms: 12(10 + -2b) = -5b + -32 (10 * 12 + -2b * 12) = -5b + -32 (120 + -24b) = -5b + -32 Reorder the terms: 120 + -24b = -32 + -5b Solving 120 + -24b = -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. 120 + -24b + 5b = -32 + -5b + 5b Combine like terms: -24b + 5b = -19b 120 + -19b = -32 + -5b + 5b Combine like terms: -5b + 5b = 0 120 + -19b = -32 + 0 120 + -19b = -32 Add '-120' to each side of the equation. 120 + -120 + -19b = -32 + -120 Combine like terms: 120 + -120 = 0 0 + -19b = -32 + -120 -19b = -32 + -120 Combine like terms: -32 + -120 = -152 -19b = -152 Divide each side by '-19'. b = 8 Simplifying b = 8
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