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Simplifying -9(2b + 4) + (19b + -9) = 0 Reorder the terms: -9(4 + 2b) + (19b + -9) = 0 (4 * -9 + 2b * -9) + (19b + -9) = 0 (-36 + -18b) + (19b + -9) = 0 Reorder the terms: -36 + -18b + (-9 + 19b) = 0 Remove parenthesis around (-9 + 19b) -36 + -18b + -9 + 19b = 0 Reorder the terms: -36 + -9 + -18b + 19b = 0 Combine like terms: -36 + -9 = -45 -45 + -18b + 19b = 0 Combine like terms: -18b + 19b = 1b -45 + 1b = 0 Solving -45 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 1b = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 1b = 0 + 45 1b = 0 + 45 Combine like terms: 0 + 45 = 45 1b = 45 Divide each side by '1'. b = 45 Simplifying b = 45
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