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Simplifying 32 = 2(b + 3) Reorder the terms: 32 = 2(3 + b) 32 = (3 * 2 + b * 2) 32 = (6 + 2b) Solving 32 = 6 + 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. 32 + -2b = 6 + 2b + -2b Combine like terms: 2b + -2b = 0 32 + -2b = 6 + 0 32 + -2b = 6 Add '-32' to each side of the equation. 32 + -32 + -2b = 6 + -32 Combine like terms: 32 + -32 = 0 0 + -2b = 6 + -32 -2b = 6 + -32 Combine like terms: 6 + -32 = -26 -2b = -26 Divide each side by '-2'. b = 13 Simplifying b = 13
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