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Simplifying 30 = 5(b + 20) Reorder the terms: 30 = 5(20 + b) 30 = (20 * 5 + b * 5) 30 = (100 + 5b) Solving 30 = 100 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 30 + -5b = 100 + 5b + -5b Combine like terms: 5b + -5b = 0 30 + -5b = 100 + 0 30 + -5b = 100 Add '-30' to each side of the equation. 30 + -30 + -5b = 100 + -30 Combine like terms: 30 + -30 = 0 0 + -5b = 100 + -30 -5b = 100 + -30 Combine like terms: 100 + -30 = 70 -5b = 70 Divide each side by '-5'. b = -14 Simplifying b = -14
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