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Simplifying (5b + -2) + -1(3 + -2b) = 9 Reorder the terms: (-2 + 5b) + -1(3 + -2b) = 9 Remove parenthesis around (-2 + 5b) -2 + 5b + -1(3 + -2b) = 9 -2 + 5b + (3 * -1 + -2b * -1) = 9 -2 + 5b + (-3 + 2b) = 9 Reorder the terms: -2 + -3 + 5b + 2b = 9 Combine like terms: -2 + -3 = -5 -5 + 5b + 2b = 9 Combine like terms: 5b + 2b = 7b -5 + 7b = 9 Solving -5 + 7b = 9 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 + 7b = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 7b = 9 + 5 7b = 9 + 5 Combine like terms: 9 + 5 = 14 7b = 14 Divide each side by '7'. b = 2 Simplifying b = 2
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