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Simplifying -9(4b + 1) + (37b + -6) = 0 Reorder the terms: -9(1 + 4b) + (37b + -6) = 0 (1 * -9 + 4b * -9) + (37b + -6) = 0 (-9 + -36b) + (37b + -6) = 0 Reorder the terms: -9 + -36b + (-6 + 37b) = 0 Remove parenthesis around (-6 + 37b) -9 + -36b + -6 + 37b = 0 Reorder the terms: -9 + -6 + -36b + 37b = 0 Combine like terms: -9 + -6 = -15 -15 + -36b + 37b = 0 Combine like terms: -36b + 37b = 1b -15 + 1b = 0 Solving -15 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1b = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1b = 0 + 15 1b = 0 + 15 Combine like terms: 0 + 15 = 15 1b = 15 Divide each side by '1'. b = 15 Simplifying b = 15
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