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Simplifying 38 + 2b = 4(b + 6) Reorder the terms: 38 + 2b = 4(6 + b) 38 + 2b = (6 * 4 + b * 4) 38 + 2b = (24 + 4b) Solving 38 + 2b = 24 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 38 + 2b + -4b = 24 + 4b + -4b Combine like terms: 2b + -4b = -2b 38 + -2b = 24 + 4b + -4b Combine like terms: 4b + -4b = 0 38 + -2b = 24 + 0 38 + -2b = 24 Add '-38' to each side of the equation. 38 + -38 + -2b = 24 + -38 Combine like terms: 38 + -38 = 0 0 + -2b = 24 + -38 -2b = 24 + -38 Combine like terms: 24 + -38 = -14 -2b = -14 Divide each side by '-2'. b = 7 Simplifying b = 7
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