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Simplifying 8(2v + -6) + 2 = -8 + -3v Reorder the terms: 8(-6 + 2v) + 2 = -8 + -3v (-6 * 8 + 2v * 8) + 2 = -8 + -3v (-48 + 16v) + 2 = -8 + -3v Reorder the terms: -48 + 2 + 16v = -8 + -3v Combine like terms: -48 + 2 = -46 -46 + 16v = -8 + -3v Solving -46 + 16v = -8 + -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. -46 + 16v + 3v = -8 + -3v + 3v Combine like terms: 16v + 3v = 19v -46 + 19v = -8 + -3v + 3v Combine like terms: -3v + 3v = 0 -46 + 19v = -8 + 0 -46 + 19v = -8 Add '46' to each side of the equation. -46 + 46 + 19v = -8 + 46 Combine like terms: -46 + 46 = 0 0 + 19v = -8 + 46 19v = -8 + 46 Combine like terms: -8 + 46 = 38 19v = 38 Divide each side by '19'. v = 2 Simplifying v = 2
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