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Simplifying (37b + -3) + -9(4b + 2) = -4 Reorder the terms: (-3 + 37b) + -9(4b + 2) = -4 Remove parenthesis around (-3 + 37b) -3 + 37b + -9(4b + 2) = -4 Reorder the terms: -3 + 37b + -9(2 + 4b) = -4 -3 + 37b + (2 * -9 + 4b * -9) = -4 -3 + 37b + (-18 + -36b) = -4 Reorder the terms: -3 + -18 + 37b + -36b = -4 Combine like terms: -3 + -18 = -21 -21 + 37b + -36b = -4 Combine like terms: 37b + -36b = 1b -21 + 1b = -4 Solving -21 + 1b = -4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 1b = -4 + 21 Combine like terms: -21 + 21 = 0 0 + 1b = -4 + 21 1b = -4 + 21 Combine like terms: -4 + 21 = 17 1b = 17 Divide each side by '1'. b = 17 Simplifying b = 17
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