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Simplifying -9(2b + 4) + (19b + -5) = 0 Reorder the terms: -9(4 + 2b) + (19b + -5) = 0 (4 * -9 + 2b * -9) + (19b + -5) = 0 (-36 + -18b) + (19b + -5) = 0 Reorder the terms: -36 + -18b + (-5 + 19b) = 0 Remove parenthesis around (-5 + 19b) -36 + -18b + -5 + 19b = 0 Reorder the terms: -36 + -5 + -18b + 19b = 0 Combine like terms: -36 + -5 = -41 -41 + -18b + 19b = 0 Combine like terms: -18b + 19b = 1b -41 + 1b = 0 Solving -41 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 1b = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 1b = 0 + 41 1b = 0 + 41 Combine like terms: 0 + 41 = 41 1b = 41 Divide each side by '1'. b = 41 Simplifying b = 41
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