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Simplifying 3v + -19 = 5(v + -5) Reorder the terms: -19 + 3v = 5(v + -5) Reorder the terms: -19 + 3v = 5(-5 + v) -19 + 3v = (-5 * 5 + v * 5) -19 + 3v = (-25 + 5v) Solving -19 + 3v = -25 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -19 + 3v + -5v = -25 + 5v + -5v Combine like terms: 3v + -5v = -2v -19 + -2v = -25 + 5v + -5v Combine like terms: 5v + -5v = 0 -19 + -2v = -25 + 0 -19 + -2v = -25 Add '19' to each side of the equation. -19 + 19 + -2v = -25 + 19 Combine like terms: -19 + 19 = 0 0 + -2v = -25 + 19 -2v = -25 + 19 Combine like terms: -25 + 19 = -6 -2v = -6 Divide each side by '-2'. v = 3 Simplifying v = 3
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