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Simplifying 5(3b + -1) = 45 Reorder the terms: 5(-1 + 3b) = 45 (-1 * 5 + 3b * 5) = 45 (-5 + 15b) = 45 Solving -5 + 15b = 45 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 + 15b = 45 + 5 Combine like terms: -5 + 5 = 0 0 + 15b = 45 + 5 15b = 45 + 5 Combine like terms: 45 + 5 = 50 15b = 50 Divide each side by '15'. b = 3.333333333 Simplifying b = 3.333333333
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