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Simplifying 38 + 3b = 7(b + 2) Reorder the terms: 38 + 3b = 7(2 + b) 38 + 3b = (2 * 7 + b * 7) 38 + 3b = (14 + 7b) Solving 38 + 3b = 14 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 38 + 3b + -7b = 14 + 7b + -7b Combine like terms: 3b + -7b = -4b 38 + -4b = 14 + 7b + -7b Combine like terms: 7b + -7b = 0 38 + -4b = 14 + 0 38 + -4b = 14 Add '-38' to each side of the equation. 38 + -38 + -4b = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -4b = 14 + -38 -4b = 14 + -38 Combine like terms: 14 + -38 = -24 -4b = -24 Divide each side by '-4'. b = 6 Simplifying b = 6
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