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Simplifying 5b + -3(1 + -5b) = 97 5b + (1 * -3 + -5b * -3) = 97 5b + (-3 + 15b) = 97 Reorder the terms: -3 + 5b + 15b = 97 Combine like terms: 5b + 15b = 20b -3 + 20b = 97 Solving -3 + 20b = 97 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 20b = 97 + 3 Combine like terms: -3 + 3 = 0 0 + 20b = 97 + 3 20b = 97 + 3 Combine like terms: 97 + 3 = 100 20b = 100 Divide each side by '20'. b = 5 Simplifying b = 5
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