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Simplifying 6(b + 2) = 32 + b Reorder the terms: 6(2 + b) = 32 + b (2 * 6 + b * 6) = 32 + b (12 + 6b) = 32 + b Solving 12 + 6b = 32 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 12 + 6b + -1b = 32 + b + -1b Combine like terms: 6b + -1b = 5b 12 + 5b = 32 + b + -1b Combine like terms: b + -1b = 0 12 + 5b = 32 + 0 12 + 5b = 32 Add '-12' to each side of the equation. 12 + -12 + 5b = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 5b = 32 + -12 5b = 32 + -12 Combine like terms: 32 + -12 = 20 5b = 20 Divide each side by '5'. b = 4 Simplifying b = 4
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