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Simplifying 3b + 5(-1 + 7b) = 109 3b + (-1 * 5 + 7b * 5) = 109 3b + (-5 + 35b) = 109 Reorder the terms: -5 + 3b + 35b = 109 Combine like terms: 3b + 35b = 38b -5 + 38b = 109 Solving -5 + 38b = 109 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 38b = 109 + 5 Combine like terms: -5 + 5 = 0 0 + 38b = 109 + 5 38b = 109 + 5 Combine like terms: 109 + 5 = 114 38b = 114 Divide each side by '38'. b = 3 Simplifying b = 3
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