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Simplifying -9(2b + 1) + (19b + -8) = 0 Reorder the terms: -9(1 + 2b) + (19b + -8) = 0 (1 * -9 + 2b * -9) + (19b + -8) = 0 (-9 + -18b) + (19b + -8) = 0 Reorder the terms: -9 + -18b + (-8 + 19b) = 0 Remove parenthesis around (-8 + 19b) -9 + -18b + -8 + 19b = 0 Reorder the terms: -9 + -8 + -18b + 19b = 0 Combine like terms: -9 + -8 = -17 -17 + -18b + 19b = 0 Combine like terms: -18b + 19b = 1b -17 + 1b = 0 Solving -17 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1b = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 1b = 0 + 17 1b = 0 + 17 Combine like terms: 0 + 17 = 17 1b = 17 Divide each side by '1'. b = 17 Simplifying b = 17
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