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Simplifying (37b + -2) + -9(4b + 3) = -6 Reorder the terms: (-2 + 37b) + -9(4b + 3) = -6 Remove parenthesis around (-2 + 37b) -2 + 37b + -9(4b + 3) = -6 Reorder the terms: -2 + 37b + -9(3 + 4b) = -6 -2 + 37b + (3 * -9 + 4b * -9) = -6 -2 + 37b + (-27 + -36b) = -6 Reorder the terms: -2 + -27 + 37b + -36b = -6 Combine like terms: -2 + -27 = -29 -29 + 37b + -36b = -6 Combine like terms: 37b + -36b = 1b -29 + 1b = -6 Solving -29 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 1b = -6 + 29 Combine like terms: -29 + 29 = 0 0 + 1b = -6 + 29 1b = -6 + 29 Combine like terms: -6 + 29 = 23 1b = 23 Divide each side by '1'. b = 23 Simplifying b = 23
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