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Simplifying (9b + -9) + -4(2b + 3) = -6 Reorder the terms: (-9 + 9b) + -4(2b + 3) = -6 Remove parenthesis around (-9 + 9b) -9 + 9b + -4(2b + 3) = -6 Reorder the terms: -9 + 9b + -4(3 + 2b) = -6 -9 + 9b + (3 * -4 + 2b * -4) = -6 -9 + 9b + (-12 + -8b) = -6 Reorder the terms: -9 + -12 + 9b + -8b = -6 Combine like terms: -9 + -12 = -21 -21 + 9b + -8b = -6 Combine like terms: 9b + -8b = 1b -21 + 1b = -6 Solving -21 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 1b = -6 + 21 Combine like terms: -21 + 21 = 0 0 + 1b = -6 + 21 1b = -6 + 21 Combine like terms: -6 + 21 = 15 1b = 15 Divide each side by '1'. b = 15 Simplifying b = 15
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