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Simplifying (37b + -7) + -9(4b + 4) = -4 Reorder the terms: (-7 + 37b) + -9(4b + 4) = -4 Remove parenthesis around (-7 + 37b) -7 + 37b + -9(4b + 4) = -4 Reorder the terms: -7 + 37b + -9(4 + 4b) = -4 -7 + 37b + (4 * -9 + 4b * -9) = -4 -7 + 37b + (-36 + -36b) = -4 Reorder the terms: -7 + -36 + 37b + -36b = -4 Combine like terms: -7 + -36 = -43 -43 + 37b + -36b = -4 Combine like terms: 37b + -36b = 1b -43 + 1b = -4 Solving -43 + 1b = -4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 1b = -4 + 43 Combine like terms: -43 + 43 = 0 0 + 1b = -4 + 43 1b = -4 + 43 Combine like terms: -4 + 43 = 39 1b = 39 Divide each side by '1'. b = 39 Simplifying b = 39
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