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Simplifying 20(b + 30) = 90b Reorder the terms: 20(30 + b) = 90b (30 * 20 + b * 20) = 90b (600 + 20b) = 90b Solving 600 + 20b = 90b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-90b' to each side of the equation. 600 + 20b + -90b = 90b + -90b Combine like terms: 20b + -90b = -70b 600 + -70b = 90b + -90b Combine like terms: 90b + -90b = 0 600 + -70b = 0 Add '-600' to each side of the equation. 600 + -600 + -70b = 0 + -600 Combine like terms: 600 + -600 = 0 0 + -70b = 0 + -600 -70b = 0 + -600 Combine like terms: 0 + -600 = -600 -70b = -600 Divide each side by '-70'. b = 8.571428571 Simplifying b = 8.571428571
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