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Simplifying (37b + -9) + -9(4b + 4) = -2 Reorder the terms: (-9 + 37b) + -9(4b + 4) = -2 Remove parenthesis around (-9 + 37b) -9 + 37b + -9(4b + 4) = -2 Reorder the terms: -9 + 37b + -9(4 + 4b) = -2 -9 + 37b + (4 * -9 + 4b * -9) = -2 -9 + 37b + (-36 + -36b) = -2 Reorder the terms: -9 + -36 + 37b + -36b = -2 Combine like terms: -9 + -36 = -45 -45 + 37b + -36b = -2 Combine like terms: 37b + -36b = 1b -45 + 1b = -2 Solving -45 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 1b = -2 + 45 Combine like terms: -45 + 45 = 0 0 + 1b = -2 + 45 1b = -2 + 45 Combine like terms: -2 + 45 = 43 1b = 43 Divide each side by '1'. b = 43 Simplifying b = 43
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