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Simplifying 5(v + -3) = 3v + -9 Reorder the terms: 5(-3 + v) = 3v + -9 (-3 * 5 + v * 5) = 3v + -9 (-15 + 5v) = 3v + -9 Reorder the terms: -15 + 5v = -9 + 3v Solving -15 + 5v = -9 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -15 + 5v + -3v = -9 + 3v + -3v Combine like terms: 5v + -3v = 2v -15 + 2v = -9 + 3v + -3v Combine like terms: 3v + -3v = 0 -15 + 2v = -9 + 0 -15 + 2v = -9 Add '15' to each side of the equation. -15 + 15 + 2v = -9 + 15 Combine like terms: -15 + 15 = 0 0 + 2v = -9 + 15 2v = -9 + 15 Combine like terms: -9 + 15 = 6 2v = 6 Divide each side by '2'. v = 3 Simplifying v = 3
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