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Simplifying (28b + -7) + -9(3b + 1) = -2 Reorder the terms: (-7 + 28b) + -9(3b + 1) = -2 Remove parenthesis around (-7 + 28b) -7 + 28b + -9(3b + 1) = -2 Reorder the terms: -7 + 28b + -9(1 + 3b) = -2 -7 + 28b + (1 * -9 + 3b * -9) = -2 -7 + 28b + (-9 + -27b) = -2 Reorder the terms: -7 + -9 + 28b + -27b = -2 Combine like terms: -7 + -9 = -16 -16 + 28b + -27b = -2 Combine like terms: 28b + -27b = 1b -16 + 1b = -2 Solving -16 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1b = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 1b = -2 + 16 1b = -2 + 16 Combine like terms: -2 + 16 = 14 1b = 14 Divide each side by '1'. b = 14 Simplifying b = 14
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