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Simplifying -6b + 5(4 + 7b) = 165 -6b + (4 * 5 + 7b * 5) = 165 -6b + (20 + 35b) = 165 Reorder the terms: 20 + -6b + 35b = 165 Combine like terms: -6b + 35b = 29b 20 + 29b = 165 Solving 20 + 29b = 165 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 29b = 165 + -20 Combine like terms: 20 + -20 = 0 0 + 29b = 165 + -20 29b = 165 + -20 Combine like terms: 165 + -20 = 145 29b = 145 Divide each side by '29'. b = 5 Simplifying b = 5
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