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Simplifying (37b + -6) + -9(4b + 4) = -2 Reorder the terms: (-6 + 37b) + -9(4b + 4) = -2 Remove parenthesis around (-6 + 37b) -6 + 37b + -9(4b + 4) = -2 Reorder the terms: -6 + 37b + -9(4 + 4b) = -2 -6 + 37b + (4 * -9 + 4b * -9) = -2 -6 + 37b + (-36 + -36b) = -2 Reorder the terms: -6 + -36 + 37b + -36b = -2 Combine like terms: -6 + -36 = -42 -42 + 37b + -36b = -2 Combine like terms: 37b + -36b = 1b -42 + 1b = -2 Solving -42 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 1b = -2 + 42 Combine like terms: -42 + 42 = 0 0 + 1b = -2 + 42 1b = -2 + 42 Combine like terms: -2 + 42 = 40 1b = 40 Divide each side by '1'. b = 40 Simplifying b = 40
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