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Simplifying 5(v + -3) + 5v = -5v Reorder the terms: 5(-3 + v) + 5v = -5v (-3 * 5 + v * 5) + 5v = -5v (-15 + 5v) + 5v = -5v Combine like terms: 5v + 5v = 10v -15 + 10v = -5v Solving -15 + 10v = -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. -15 + 10v + 5v = -5v + 5v Combine like terms: 10v + 5v = 15v -15 + 15v = -5v + 5v Combine like terms: -5v + 5v = 0 -15 + 15v = 0 Add '15' to each side of the equation. -15 + 15 + 15v = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 15v = 0 + 15 15v = 0 + 15 Combine like terms: 0 + 15 = 15 15v = 15 Divide each side by '15'. v = 1 Simplifying v = 1
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