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Simplifying (28b + -5) + -9(3b + 1) = -6 Reorder the terms: (-5 + 28b) + -9(3b + 1) = -6 Remove parenthesis around (-5 + 28b) -5 + 28b + -9(3b + 1) = -6 Reorder the terms: -5 + 28b + -9(1 + 3b) = -6 -5 + 28b + (1 * -9 + 3b * -9) = -6 -5 + 28b + (-9 + -27b) = -6 Reorder the terms: -5 + -9 + 28b + -27b = -6 Combine like terms: -5 + -9 = -14 -14 + 28b + -27b = -6 Combine like terms: 28b + -27b = 1b -14 + 1b = -6 Solving -14 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1b = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 1b = -6 + 14 1b = -6 + 14 Combine like terms: -6 + 14 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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