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Simplifying 7(b + 5) = 38 + 6b Reorder the terms: 7(5 + b) = 38 + 6b (5 * 7 + b * 7) = 38 + 6b (35 + 7b) = 38 + 6b Solving 35 + 7b = 38 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 35 + 7b + -6b = 38 + 6b + -6b Combine like terms: 7b + -6b = 1b 35 + 1b = 38 + 6b + -6b Combine like terms: 6b + -6b = 0 35 + 1b = 38 + 0 35 + 1b = 38 Add '-35' to each side of the equation. 35 + -35 + 1b = 38 + -35 Combine like terms: 35 + -35 = 0 0 + 1b = 38 + -35 1b = 38 + -35 Combine like terms: 38 + -35 = 3 1b = 3 Divide each side by '1'. b = 3 Simplifying b = 3
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