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Simplifying -4 + 7(1 + 2v) = -81 -4 + (1 * 7 + 2v * 7) = -81 -4 + (7 + 14v) = -81 Combine like terms: -4 + 7 = 3 3 + 14v = -81 Solving 3 + 14v = -81 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 14v = -81 + -3 Combine like terms: 3 + -3 = 0 0 + 14v = -81 + -3 14v = -81 + -3 Combine like terms: -81 + -3 = -84 14v = -84 Divide each side by '14'. v = -6 Simplifying v = -6
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