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Simplifying 5v + -7(5 + -1v) = -5 + 7v 5v + (5 * -7 + -1v * -7) = -5 + 7v 5v + (-35 + 7v) = -5 + 7v Reorder the terms: -35 + 5v + 7v = -5 + 7v Combine like terms: 5v + 7v = 12v -35 + 12v = -5 + 7v Solving -35 + 12v = -5 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -35 + 12v + -7v = -5 + 7v + -7v Combine like terms: 12v + -7v = 5v -35 + 5v = -5 + 7v + -7v Combine like terms: 7v + -7v = 0 -35 + 5v = -5 + 0 -35 + 5v = -5 Add '35' to each side of the equation. -35 + 35 + 5v = -5 + 35 Combine like terms: -35 + 35 = 0 0 + 5v = -5 + 35 5v = -5 + 35 Combine like terms: -5 + 35 = 30 5v = 30 Divide each side by '5'. v = 6 Simplifying v = 6
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