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Simplifying 5(v + -5) = 2v + -10 Reorder the terms: 5(-5 + v) = 2v + -10 (-5 * 5 + v * 5) = 2v + -10 (-25 + 5v) = 2v + -10 Reorder the terms: -25 + 5v = -10 + 2v Solving -25 + 5v = -10 + 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 = -10 + 2v + -2v Combine like terms: 5v + -2v = 3v -25 + 3v = -10 + 2v + -2v Combine like terms: 2v + -2v = 0 -25 + 3v = -10 + 0 -25 + 3v = -10 Add '25' to each side of the equation. -25 + 25 + 3v = -10 + 25 Combine like terms: -25 + 25 = 0 0 + 3v = -10 + 25 3v = -10 + 25 Combine like terms: -10 + 25 = 15 3v = 15 Divide each side by '3'. v = 5 Simplifying v = 5
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