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Simplifying 2(3v + -5) = 15 + v Reorder the terms: 2(-5 + 3v) = 15 + v (-5 * 2 + 3v * 2) = 15 + v (-10 + 6v) = 15 + v Solving -10 + 6v = 15 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -10 + 6v + -1v = 15 + v + -1v Combine like terms: 6v + -1v = 5v -10 + 5v = 15 + v + -1v Combine like terms: v + -1v = 0 -10 + 5v = 15 + 0 -10 + 5v = 15 Add '10' to each side of the equation. -10 + 10 + 5v = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 5v = 15 + 10 5v = 15 + 10 Combine like terms: 15 + 10 = 25 5v = 25 Divide each side by '5'. v = 5 Simplifying v = 5
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