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Simplifying 7v + 5 = 5(v + -3) Reorder the terms: 5 + 7v = 5(v + -3) Reorder the terms: 5 + 7v = 5(-3 + v) 5 + 7v = (-3 * 5 + v * 5) 5 + 7v = (-15 + 5v) Solving 5 + 7v = -15 + 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. 5 + 7v + -5v = -15 + 5v + -5v Combine like terms: 7v + -5v = 2v 5 + 2v = -15 + 5v + -5v Combine like terms: 5v + -5v = 0 5 + 2v = -15 + 0 5 + 2v = -15 Add '-5' to each side of the equation. 5 + -5 + 2v = -15 + -5 Combine like terms: 5 + -5 = 0 0 + 2v = -15 + -5 2v = -15 + -5 Combine like terms: -15 + -5 = -20 2v = -20 Divide each side by '2'. v = -10 Simplifying v = -10
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