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Simplifying (37b + -4) + -9(4b + 3) = -6 Reorder the terms: (-4 + 37b) + -9(4b + 3) = -6 Remove parenthesis around (-4 + 37b) -4 + 37b + -9(4b + 3) = -6 Reorder the terms: -4 + 37b + -9(3 + 4b) = -6 -4 + 37b + (3 * -9 + 4b * -9) = -6 -4 + 37b + (-27 + -36b) = -6 Reorder the terms: -4 + -27 + 37b + -36b = -6 Combine like terms: -4 + -27 = -31 -31 + 37b + -36b = -6 Combine like terms: 37b + -36b = 1b -31 + 1b = -6 Solving -31 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 1b = -6 + 31 Combine like terms: -31 + 31 = 0 0 + 1b = -6 + 31 1b = -6 + 31 Combine like terms: -6 + 31 = 25 1b = 25 Divide each side by '1'. b = 25 Simplifying b = 25
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