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Simplifying -9(3b + 2) + (28b + -9) = 0 Reorder the terms: -9(2 + 3b) + (28b + -9) = 0 (2 * -9 + 3b * -9) + (28b + -9) = 0 (-18 + -27b) + (28b + -9) = 0 Reorder the terms: -18 + -27b + (-9 + 28b) = 0 Remove parenthesis around (-9 + 28b) -18 + -27b + -9 + 28b = 0 Reorder the terms: -18 + -9 + -27b + 28b = 0 Combine like terms: -18 + -9 = -27 -27 + -27b + 28b = 0 Combine like terms: -27b + 28b = 1b -27 + 1b = 0 Solving -27 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 1b = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 1b = 0 + 27 1b = 0 + 27 Combine like terms: 0 + 27 = 27 1b = 27 Divide each side by '1'. b = 27 Simplifying b = 27
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