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Simplifying -15 = 3v + 2(v + -5) Reorder the terms: -15 = 3v + 2(-5 + v) -15 = 3v + (-5 * 2 + v * 2) -15 = 3v + (-10 + 2v) Reorder the terms: -15 = -10 + 3v + 2v Combine like terms: 3v + 2v = 5v -15 = -10 + 5v Solving -15 = -10 + 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 + -5v = -10 + 5v + -5v Combine like terms: 5v + -5v = 0 -15 + -5v = -10 + 0 -15 + -5v = -10 Add '15' to each side of the equation. -15 + 15 + -5v = -10 + 15 Combine like terms: -15 + 15 = 0 0 + -5v = -10 + 15 -5v = -10 + 15 Combine like terms: -10 + 15 = 5 -5v = 5 Divide each side by '-5'. v = -1 Simplifying v = -1
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