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Simplifying -2(4b + 2) + (9b + -5) = 0 Reorder the terms: -2(2 + 4b) + (9b + -5) = 0 (2 * -2 + 4b * -2) + (9b + -5) = 0 (-4 + -8b) + (9b + -5) = 0 Reorder the terms: -4 + -8b + (-5 + 9b) = 0 Remove parenthesis around (-5 + 9b) -4 + -8b + -5 + 9b = 0 Reorder the terms: -4 + -5 + -8b + 9b = 0 Combine like terms: -4 + -5 = -9 -9 + -8b + 9b = 0 Combine like terms: -8b + 9b = 1b -9 + 1b = 0 Solving -9 + 1b = 0 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 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 1b = 0 + 9 1b = 0 + 9 Combine like terms: 0 + 9 = 9 1b = 9 Divide each side by '1'. b = 9 Simplifying b = 9
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