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