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Simplifying 6b + 38 = 2(3 + b) Reorder the terms: 38 + 6b = 2(3 + b) 38 + 6b = (3 * 2 + b * 2) 38 + 6b = (6 + 2b) Solving 38 + 6b = 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. 38 + 6b + -2b = 6 + 2b + -2b Combine like terms: 6b + -2b = 4b 38 + 4b = 6 + 2b + -2b Combine like terms: 2b + -2b = 0 38 + 4b = 6 + 0 38 + 4b = 6 Add '-38' to each side of the equation. 38 + -38 + 4b = 6 + -38 Combine like terms: 38 + -38 = 0 0 + 4b = 6 + -38 4b = 6 + -38 Combine like terms: 6 + -38 = -32 4b = -32 Divide each side by '4'. b = -8 Simplifying b = -8
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