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Simplifying -9(2b + 1) + (19b + -7) = 0 Reorder the terms: -9(1 + 2b) + (19b + -7) = 0 (1 * -9 + 2b * -9) + (19b + -7) = 0 (-9 + -18b) + (19b + -7) = 0 Reorder the terms: -9 + -18b + (-7 + 19b) = 0 Remove parenthesis around (-7 + 19b) -9 + -18b + -7 + 19b = 0 Reorder the terms: -9 + -7 + -18b + 19b = 0 Combine like terms: -9 + -7 = -16 -16 + -18b + 19b = 0 Combine like terms: -18b + 19b = 1b -16 + 1b = 0 Solving -16 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1b = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 1b = 0 + 16 1b = 0 + 16 Combine like terms: 0 + 16 = 16 1b = 16 Divide each side by '1'. b = 16 Simplifying b = 16
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