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Simplifying 3(4b + 1) = -81 Reorder the terms: 3(1 + 4b) = -81 (1 * 3 + 4b * 3) = -81 (3 + 12b) = -81 Solving 3 + 12b = -81 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 12b = -81 + -3 Combine like terms: 3 + -3 = 0 0 + 12b = -81 + -3 12b = -81 + -3 Combine like terms: -81 + -3 = -84 12b = -84 Divide each side by '12'. b = -7 Simplifying b = -7
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