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Simplifying -4(1 + -8v) + -7v = -2(2 + -7v) (1 * -4 + -8v * -4) + -7v = -2(2 + -7v) (-4 + 32v) + -7v = -2(2 + -7v) Combine like terms: 32v + -7v = 25v -4 + 25v = -2(2 + -7v) -4 + 25v = (2 * -2 + -7v * -2) -4 + 25v = (-4 + 14v) Add '4' to each side of the equation. -4 + 4 + 25v = -4 + 4 + 14v Combine like terms: -4 + 4 = 0 0 + 25v = -4 + 4 + 14v 25v = -4 + 4 + 14v Combine like terms: -4 + 4 = 0 25v = 0 + 14v 25v = 14v Solving 25v = 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 25v + -14v = 14v + -14v Combine like terms: 25v + -14v = 11v 11v = 14v + -14v Combine like terms: 14v + -14v = 0 11v = 0 Divide each side by '11'. v = 0 Simplifying v = 0
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