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Simplifying 7(1 + 8v) = -7 + 4v (1 * 7 + 8v * 7) = -7 + 4v (7 + 56v) = -7 + 4v Solving 7 + 56v = -7 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 7 + 56v + -4v = -7 + 4v + -4v Combine like terms: 56v + -4v = 52v 7 + 52v = -7 + 4v + -4v Combine like terms: 4v + -4v = 0 7 + 52v = -7 + 0 7 + 52v = -7 Add '-7' to each side of the equation. 7 + -7 + 52v = -7 + -7 Combine like terms: 7 + -7 = 0 0 + 52v = -7 + -7 52v = -7 + -7 Combine like terms: -7 + -7 = -14 52v = -14 Divide each side by '52'. v = -0.2692307692 Simplifying v = -0.2692307692
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