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Simplifying (22b + -9) + -9(3b + 1) = -2 Reorder the terms: (-9 + 22b) + -9(3b + 1) = -2 Remove parenthesis around (-9 + 22b) -9 + 22b + -9(3b + 1) = -2 Reorder the terms: -9 + 22b + -9(1 + 3b) = -2 -9 + 22b + (1 * -9 + 3b * -9) = -2 -9 + 22b + (-9 + -27b) = -2 Reorder the terms: -9 + -9 + 22b + -27b = -2 Combine like terms: -9 + -9 = -18 -18 + 22b + -27b = -2 Combine like terms: 22b + -27b = -5b -18 + -5b = -2 Solving -18 + -5b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -5b = -2 + 18 Combine like terms: -18 + 18 = 0 0 + -5b = -2 + 18 -5b = -2 + 18 Combine like terms: -2 + 18 = 16 -5b = 16 Divide each side by '-5'. b = -3.2 Simplifying b = -3.2
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