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Simplifying 8(b + 3) = 2(b + 6) Reorder the terms: 8(3 + b) = 2(b + 6) (3 * 8 + b * 8) = 2(b + 6) (24 + 8b) = 2(b + 6) Reorder the terms: 24 + 8b = 2(6 + b) 24 + 8b = (6 * 2 + b * 2) 24 + 8b = (12 + 2b) Solving 24 + 8b = 12 + 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 + 8b + -2b = 12 + 2b + -2b Combine like terms: 8b + -2b = 6b 24 + 6b = 12 + 2b + -2b Combine like terms: 2b + -2b = 0 24 + 6b = 12 + 0 24 + 6b = 12 Add '-24' to each side of the equation. 24 + -24 + 6b = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 6b = 12 + -24 6b = 12 + -24 Combine like terms: 12 + -24 = -12 6b = -12 Divide each side by '6'. b = -2 Simplifying b = -2
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