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Simplifying -32 = -3(3b + 1) + -2 Reorder the terms: -32 = -3(1 + 3b) + -2 -32 = (1 * -3 + 3b * -3) + -2 -32 = (-3 + -9b) + -2 Reorder the terms: -32 = -3 + -2 + -9b Combine like terms: -3 + -2 = -5 -32 = -5 + -9b Solving -32 = -5 + -9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9b' to each side of the equation. -32 + 9b = -5 + -9b + 9b Combine like terms: -9b + 9b = 0 -32 + 9b = -5 + 0 -32 + 9b = -5 Add '32' to each side of the equation. -32 + 32 + 9b = -5 + 32 Combine like terms: -32 + 32 = 0 0 + 9b = -5 + 32 9b = -5 + 32 Combine like terms: -5 + 32 = 27 9b = 27 Divide each side by '9'. b = 3 Simplifying b = 3
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