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Simplifying -9(3b + 4) + (28b + -6) = 0 Reorder the terms: -9(4 + 3b) + (28b + -6) = 0 (4 * -9 + 3b * -9) + (28b + -6) = 0 (-36 + -27b) + (28b + -6) = 0 Reorder the terms: -36 + -27b + (-6 + 28b) = 0 Remove parenthesis around (-6 + 28b) -36 + -27b + -6 + 28b = 0 Reorder the terms: -36 + -6 + -27b + 28b = 0 Combine like terms: -36 + -6 = -42 -42 + -27b + 28b = 0 Combine like terms: -27b + 28b = 1b -42 + 1b = 0 Solving -42 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 1b = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 1b = 0 + 42 1b = 0 + 42 Combine like terms: 0 + 42 = 42 1b = 42 Divide each side by '1'. b = 42 Simplifying b = 42
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