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Simplifying 3(8 + -2b) + 8b = 8b + 36 (8 * 3 + -2b * 3) + 8b = 8b + 36 (24 + -6b) + 8b = 8b + 36 Combine like terms: -6b + 8b = 2b 24 + 2b = 8b + 36 Reorder the terms: 24 + 2b = 36 + 8b Solving 24 + 2b = 36 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 24 + 2b + -8b = 36 + 8b + -8b Combine like terms: 2b + -8b = -6b 24 + -6b = 36 + 8b + -8b Combine like terms: 8b + -8b = 0 24 + -6b = 36 + 0 24 + -6b = 36 Add '-24' to each side of the equation. 24 + -24 + -6b = 36 + -24 Combine like terms: 24 + -24 = 0 0 + -6b = 36 + -24 -6b = 36 + -24 Combine like terms: 36 + -24 = 12 -6b = 12 Divide each side by '-6'. b = -2 Simplifying b = -2
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