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Simplifying 5b + 3(b + -5) = 1 Reorder the terms: 5b + 3(-5 + b) = 1 5b + (-5 * 3 + b * 3) = 1 5b + (-15 + 3b) = 1 Reorder the terms: -15 + 5b + 3b = 1 Combine like terms: 5b + 3b = 8b -15 + 8b = 1 Solving -15 + 8b = 1 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 8b = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 8b = 1 + 15 8b = 1 + 15 Combine like terms: 1 + 15 = 16 8b = 16 Divide each side by '8'. b = 2 Simplifying b = 2
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