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Simplifying 3(b + -1) = -27 + -5b Reorder the terms: 3(-1 + b) = -27 + -5b (-1 * 3 + b * 3) = -27 + -5b (-3 + 3b) = -27 + -5b Solving -3 + 3b = -27 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. -3 + 3b + 5b = -27 + -5b + 5b Combine like terms: 3b + 5b = 8b -3 + 8b = -27 + -5b + 5b Combine like terms: -5b + 5b = 0 -3 + 8b = -27 + 0 -3 + 8b = -27 Add '3' to each side of the equation. -3 + 3 + 8b = -27 + 3 Combine like terms: -3 + 3 = 0 0 + 8b = -27 + 3 8b = -27 + 3 Combine like terms: -27 + 3 = -24 8b = -24 Divide each side by '8'. b = -3 Simplifying b = -3
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