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Simplifying (9b + -8) + -2(4b + 3) = -6 Reorder the terms: (-8 + 9b) + -2(4b + 3) = -6 Remove parenthesis around (-8 + 9b) -8 + 9b + -2(4b + 3) = -6 Reorder the terms: -8 + 9b + -2(3 + 4b) = -6 -8 + 9b + (3 * -2 + 4b * -2) = -6 -8 + 9b + (-6 + -8b) = -6 Reorder the terms: -8 + -6 + 9b + -8b = -6 Combine like terms: -8 + -6 = -14 -14 + 9b + -8b = -6 Combine like terms: 9b + -8b = 1b -14 + 1b = -6 Solving -14 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1b = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 1b = -6 + 14 1b = -6 + 14 Combine like terms: -6 + 14 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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