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Simplifying (37b + -4) + -9(4b + 1) = -5 Reorder the terms: (-4 + 37b) + -9(4b + 1) = -5 Remove parenthesis around (-4 + 37b) -4 + 37b + -9(4b + 1) = -5 Reorder the terms: -4 + 37b + -9(1 + 4b) = -5 -4 + 37b + (1 * -9 + 4b * -9) = -5 -4 + 37b + (-9 + -36b) = -5 Reorder the terms: -4 + -9 + 37b + -36b = -5 Combine like terms: -4 + -9 = -13 -13 + 37b + -36b = -5 Combine like terms: 37b + -36b = 1b -13 + 1b = -5 Solving -13 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1b = -5 + 13 Combine like terms: -13 + 13 = 0 0 + 1b = -5 + 13 1b = -5 + 13 Combine like terms: -5 + 13 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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