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Simplifying 5(1 + 4b) = 5b + 35 (1 * 5 + 4b * 5) = 5b + 35 (5 + 20b) = 5b + 35 Reorder the terms: 5 + 20b = 35 + 5b Solving 5 + 20b = 35 + 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. 5 + 20b + -5b = 35 + 5b + -5b Combine like terms: 20b + -5b = 15b 5 + 15b = 35 + 5b + -5b Combine like terms: 5b + -5b = 0 5 + 15b = 35 + 0 5 + 15b = 35 Add '-5' to each side of the equation. 5 + -5 + 15b = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 15b = 35 + -5 15b = 35 + -5 Combine like terms: 35 + -5 = 30 15b = 30 Divide each side by '15'. b = 2 Simplifying b = 2
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