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Simplifying 5(v + -5) = -2v + -46 Reorder the terms: 5(-5 + v) = -2v + -46 (-5 * 5 + v * 5) = -2v + -46 (-25 + 5v) = -2v + -46 Reorder the terms: -25 + 5v = -46 + -2v Solving -25 + 5v = -46 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -25 + 5v + 2v = -46 + -2v + 2v Combine like terms: 5v + 2v = 7v -25 + 7v = -46 + -2v + 2v Combine like terms: -2v + 2v = 0 -25 + 7v = -46 + 0 -25 + 7v = -46 Add '25' to each side of the equation. -25 + 25 + 7v = -46 + 25 Combine like terms: -25 + 25 = 0 0 + 7v = -46 + 25 7v = -46 + 25 Combine like terms: -46 + 25 = -21 7v = -21 Divide each side by '7'. v = -3 Simplifying v = -3
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