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Simplifying (37b + -3) + -9(4b + 1) = -5 Reorder the terms: (-3 + 37b) + -9(4b + 1) = -5 Remove parenthesis around (-3 + 37b) -3 + 37b + -9(4b + 1) = -5 Reorder the terms: -3 + 37b + -9(1 + 4b) = -5 -3 + 37b + (1 * -9 + 4b * -9) = -5 -3 + 37b + (-9 + -36b) = -5 Reorder the terms: -3 + -9 + 37b + -36b = -5 Combine like terms: -3 + -9 = -12 -12 + 37b + -36b = -5 Combine like terms: 37b + -36b = 1b -12 + 1b = -5 Solving -12 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1b = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 1b = -5 + 12 1b = -5 + 12 Combine like terms: -5 + 12 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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