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Simplifying -3v + 10 = -5(v + -4) Reorder the terms: 10 + -3v = -5(v + -4) Reorder the terms: 10 + -3v = -5(-4 + v) 10 + -3v = (-4 * -5 + v * -5) 10 + -3v = (20 + -5v) Solving 10 + -3v = 20 + -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. 10 + -3v + 5v = 20 + -5v + 5v Combine like terms: -3v + 5v = 2v 10 + 2v = 20 + -5v + 5v Combine like terms: -5v + 5v = 0 10 + 2v = 20 + 0 10 + 2v = 20 Add '-10' to each side of the equation. 10 + -10 + 2v = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 2v = 20 + -10 2v = 20 + -10 Combine like terms: 20 + -10 = 10 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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