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Simplifying (9b + -6) + -4(2b + 1) = -2 Reorder the terms: (-6 + 9b) + -4(2b + 1) = -2 Remove parenthesis around (-6 + 9b) -6 + 9b + -4(2b + 1) = -2 Reorder the terms: -6 + 9b + -4(1 + 2b) = -2 -6 + 9b + (1 * -4 + 2b * -4) = -2 -6 + 9b + (-4 + -8b) = -2 Reorder the terms: -6 + -4 + 9b + -8b = -2 Combine like terms: -6 + -4 = -10 -10 + 9b + -8b = -2 Combine like terms: 9b + -8b = 1b -10 + 1b = -2 Solving -10 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1b = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 1b = -2 + 10 1b = -2 + 10 Combine like terms: -2 + 10 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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