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Simplifying (9b + -6) + -2(4b + 1) = -2 Reorder the terms: (-6 + 9b) + -2(4b + 1) = -2 Remove parenthesis around (-6 + 9b) -6 + 9b + -2(4b + 1) = -2 Reorder the terms: -6 + 9b + -2(1 + 4b) = -2 -6 + 9b + (1 * -2 + 4b * -2) = -2 -6 + 9b + (-2 + -8b) = -2 Reorder the terms: -6 + -2 + 9b + -8b = -2 Combine like terms: -6 + -2 = -8 -8 + 9b + -8b = -2 Combine like terms: 9b + -8b = 1b -8 + 1b = -2 Solving -8 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1b = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 1b = -2 + 8 1b = -2 + 8 Combine like terms: -2 + 8 = 6 1b = 6 Divide each side by '1'. b = 6 Simplifying b = 6
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