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Simplifying (9b + -6) + -2(4b + 3) = -6 Reorder the terms: (-6 + 9b) + -2(4b + 3) = -6 Remove parenthesis around (-6 + 9b) -6 + 9b + -2(4b + 3) = -6 Reorder the terms: -6 + 9b + -2(3 + 4b) = -6 -6 + 9b + (3 * -2 + 4b * -2) = -6 -6 + 9b + (-6 + -8b) = -6 Reorder the terms: -6 + -6 + 9b + -8b = -6 Combine like terms: -6 + -6 = -12 -12 + 9b + -8b = -6 Combine like terms: 9b + -8b = 1b -12 + 1b = -6 Solving -12 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1b = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 1b = -6 + 12 1b = -6 + 12 Combine like terms: -6 + 12 = 6 1b = 6 Divide each side by '1'. b = 6 Simplifying b = 6
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