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Simplifying (9b + -5) + -4(2b + 1) = -6 Reorder the terms: (-5 + 9b) + -4(2b + 1) = -6 Remove parenthesis around (-5 + 9b) -5 + 9b + -4(2b + 1) = -6 Reorder the terms: -5 + 9b + -4(1 + 2b) = -6 -5 + 9b + (1 * -4 + 2b * -4) = -6 -5 + 9b + (-4 + -8b) = -6 Reorder the terms: -5 + -4 + 9b + -8b = -6 Combine like terms: -5 + -4 = -9 -9 + 9b + -8b = -6 Combine like terms: 9b + -8b = 1b -9 + 1b = -6 Solving -9 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1b = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 1b = -6 + 9 1b = -6 + 9 Combine like terms: -6 + 9 = 3 1b = 3 Divide each side by '1'. b = 3 Simplifying b = 3
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