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Simplifying -9(2b + 4) + (19b + -7) = 0 Reorder the terms: -9(4 + 2b) + (19b + -7) = 0 (4 * -9 + 2b * -9) + (19b + -7) = 0 (-36 + -18b) + (19b + -7) = 0 Reorder the terms: -36 + -18b + (-7 + 19b) = 0 Remove parenthesis around (-7 + 19b) -36 + -18b + -7 + 19b = 0 Reorder the terms: -36 + -7 + -18b + 19b = 0 Combine like terms: -36 + -7 = -43 -43 + -18b + 19b = 0 Combine like terms: -18b + 19b = 1b -43 + 1b = 0 Solving -43 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 1b = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 1b = 0 + 43 1b = 0 + 43 Combine like terms: 0 + 43 = 43 1b = 43 Divide each side by '1'. b = 43 Simplifying b = 43
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