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Simplifying 7b = 4(b + 30) Reorder the terms: 7b = 4(30 + b) 7b = (30 * 4 + b * 4) 7b = (120 + 4b) Solving 7b = 120 + 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. 7b + -4b = 120 + 4b + -4b Combine like terms: 7b + -4b = 3b 3b = 120 + 4b + -4b Combine like terms: 4b + -4b = 0 3b = 120 + 0 3b = 120 Divide each side by '3'. b = 40 Simplifying b = 40
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