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Simplifying 7(1 + 8v) + 2v = 7 + -6v (1 * 7 + 8v * 7) + 2v = 7 + -6v (7 + 56v) + 2v = 7 + -6v Combine like terms: 56v + 2v = 58v 7 + 58v = 7 + -6v Add '-7' to each side of the equation. 7 + -7 + 58v = 7 + -7 + -6v Combine like terms: 7 + -7 = 0 0 + 58v = 7 + -7 + -6v 58v = 7 + -7 + -6v Combine like terms: 7 + -7 = 0 58v = 0 + -6v 58v = -6v Solving 58v = -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 58v + 6v = -6v + 6v Combine like terms: 58v + 6v = 64v 64v = -6v + 6v Combine like terms: -6v + 6v = 0 64v = 0 Divide each side by '64'. v = 0 Simplifying v = 0
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