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Simplifying (9b + -3) + -2(4b + 1) = -3 Reorder the terms: (-3 + 9b) + -2(4b + 1) = -3 Remove parenthesis around (-3 + 9b) -3 + 9b + -2(4b + 1) = -3 Reorder the terms: -3 + 9b + -2(1 + 4b) = -3 -3 + 9b + (1 * -2 + 4b * -2) = -3 -3 + 9b + (-2 + -8b) = -3 Reorder the terms: -3 + -2 + 9b + -8b = -3 Combine like terms: -3 + -2 = -5 -5 + 9b + -8b = -3 Combine like terms: 9b + -8b = 1b -5 + 1b = -3 Solving -5 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1b = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 1b = -3 + 5 1b = -3 + 5 Combine like terms: -3 + 5 = 2 1b = 2 Divide each side by '1'. b = 2 Simplifying b = 2
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