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Simplifying -9(4b + 1) + (37b + -1) = 0 Reorder the terms: -9(1 + 4b) + (37b + -1) = 0 (1 * -9 + 4b * -9) + (37b + -1) = 0 (-9 + -36b) + (37b + -1) = 0 Reorder the terms: -9 + -36b + (-1 + 37b) = 0 Remove parenthesis around (-1 + 37b) -9 + -36b + -1 + 37b = 0 Reorder the terms: -9 + -1 + -36b + 37b = 0 Combine like terms: -9 + -1 = -10 -10 + -36b + 37b = 0 Combine like terms: -36b + 37b = 1b -10 + 1b = 0 Solving -10 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1b = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 1b = 0 + 10 1b = 0 + 10 Combine like terms: 0 + 10 = 10 1b = 10 Divide each side by '1'. b = 10 Simplifying b = 10
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