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Simplifying 5(7b + 1) = 3b(3) Reorder the terms: 5(1 + 7b) = 3b(3) (1 * 5 + 7b * 5) = 3b(3) (5 + 35b) = 3b(3) Reorder the terms for easier multiplication: 5 + 35b = 3 * 3b Multiply 3 * 3 5 + 35b = 9b Solving 5 + 35b = 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 5 + 35b + -9b = 9b + -9b Combine like terms: 35b + -9b = 26b 5 + 26b = 9b + -9b Combine like terms: 9b + -9b = 0 5 + 26b = 0 Add '-5' to each side of the equation. 5 + -5 + 26b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 26b = 0 + -5 26b = 0 + -5 Combine like terms: 0 + -5 = -5 26b = -5 Divide each side by '26'. b = -0.1923076923 Simplifying b = -0.1923076923
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