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