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Simplifying -9(3b + 3) + (28b + -6) = 0 Reorder the terms: -9(3 + 3b) + (28b + -6) = 0 (3 * -9 + 3b * -9) + (28b + -6) = 0 (-27 + -27b) + (28b + -6) = 0 Reorder the terms: -27 + -27b + (-6 + 28b) = 0 Remove parenthesis around (-6 + 28b) -27 + -27b + -6 + 28b = 0 Reorder the terms: -27 + -6 + -27b + 28b = 0 Combine like terms: -27 + -6 = -33 -33 + -27b + 28b = 0 Combine like terms: -27b + 28b = 1b -33 + 1b = 0 Solving -33 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 1b = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 1b = 0 + 33 1b = 0 + 33 Combine like terms: 0 + 33 = 33 1b = 33 Divide each side by '1'. b = 33 Simplifying b = 33
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