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Simplifying -9(4b + 2) + (37b + -6) = 0 Reorder the terms: -9(2 + 4b) + (37b + -6) = 0 (2 * -9 + 4b * -9) + (37b + -6) = 0 (-18 + -36b) + (37b + -6) = 0 Reorder the terms: -18 + -36b + (-6 + 37b) = 0 Remove parenthesis around (-6 + 37b) -18 + -36b + -6 + 37b = 0 Reorder the terms: -18 + -6 + -36b + 37b = 0 Combine like terms: -18 + -6 = -24 -24 + -36b + 37b = 0 Combine like terms: -36b + 37b = 1b -24 + 1b = 0 Solving -24 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 1b = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 1b = 0 + 24 1b = 0 + 24 Combine like terms: 0 + 24 = 24 1b = 24 Divide each side by '1'. b = 24 Simplifying b = 24
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