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Simplifying (37b + -1) + -9(4b + 1) = -4 Reorder the terms: (-1 + 37b) + -9(4b + 1) = -4 Remove parenthesis around (-1 + 37b) -1 + 37b + -9(4b + 1) = -4 Reorder the terms: -1 + 37b + -9(1 + 4b) = -4 -1 + 37b + (1 * -9 + 4b * -9) = -4 -1 + 37b + (-9 + -36b) = -4 Reorder the terms: -1 + -9 + 37b + -36b = -4 Combine like terms: -1 + -9 = -10 -10 + 37b + -36b = -4 Combine like terms: 37b + -36b = 1b -10 + 1b = -4 Solving -10 + 1b = -4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1b = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 1b = -4 + 10 1b = -4 + 10 Combine like terms: -4 + 10 = 6 1b = 6 Divide each side by '1'. b = 6 Simplifying b = 6
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