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Simplifying 3v + 8(2v + -6) = 2 + 14v Reorder the terms: 3v + 8(-6 + 2v) = 2 + 14v 3v + (-6 * 8 + 2v * 8) = 2 + 14v 3v + (-48 + 16v) = 2 + 14v Reorder the terms: -48 + 3v + 16v = 2 + 14v Combine like terms: 3v + 16v = 19v -48 + 19v = 2 + 14v Solving -48 + 19v = 2 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. -48 + 19v + -14v = 2 + 14v + -14v Combine like terms: 19v + -14v = 5v -48 + 5v = 2 + 14v + -14v Combine like terms: 14v + -14v = 0 -48 + 5v = 2 + 0 -48 + 5v = 2 Add '48' to each side of the equation. -48 + 48 + 5v = 2 + 48 Combine like terms: -48 + 48 = 0 0 + 5v = 2 + 48 5v = 2 + 48 Combine like terms: 2 + 48 = 50 5v = 50 Divide each side by '5'. v = 10 Simplifying v = 10
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