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Simplifying -9(4b + 2) + (37b + -1) = 0 Reorder the terms: -9(2 + 4b) + (37b + -1) = 0 (2 * -9 + 4b * -9) + (37b + -1) = 0 (-18 + -36b) + (37b + -1) = 0 Reorder the terms: -18 + -36b + (-1 + 37b) = 0 Remove parenthesis around (-1 + 37b) -18 + -36b + -1 + 37b = 0 Reorder the terms: -18 + -1 + -36b + 37b = 0 Combine like terms: -18 + -1 = -19 -19 + -36b + 37b = 0 Combine like terms: -36b + 37b = 1b -19 + 1b = 0 Solving -19 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1b = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 1b = 0 + 19 1b = 0 + 19 Combine like terms: 0 + 19 = 19 1b = 19 Divide each side by '1'. b = 19 Simplifying b = 19
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