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Simplifying (37b + -7) + -9(4b + 3) = -3 Reorder the terms: (-7 + 37b) + -9(4b + 3) = -3 Remove parenthesis around (-7 + 37b) -7 + 37b + -9(4b + 3) = -3 Reorder the terms: -7 + 37b + -9(3 + 4b) = -3 -7 + 37b + (3 * -9 + 4b * -9) = -3 -7 + 37b + (-27 + -36b) = -3 Reorder the terms: -7 + -27 + 37b + -36b = -3 Combine like terms: -7 + -27 = -34 -34 + 37b + -36b = -3 Combine like terms: 37b + -36b = 1b -34 + 1b = -3 Solving -34 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 1b = -3 + 34 Combine like terms: -34 + 34 = 0 0 + 1b = -3 + 34 1b = -3 + 34 Combine like terms: -3 + 34 = 31 1b = 31 Divide each side by '1'. b = 31 Simplifying b = 31
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