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Simplifying 3(4v + -1) + -8v = 17 Reorder the terms: 3(-1 + 4v) + -8v = 17 (-1 * 3 + 4v * 3) + -8v = 17 (-3 + 12v) + -8v = 17 Combine like terms: 12v + -8v = 4v -3 + 4v = 17 Solving -3 + 4v = 17 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4v = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 4v = 17 + 3 4v = 17 + 3 Combine like terms: 17 + 3 = 20 4v = 20 Divide each side by '4'. v = 5 Simplifying v = 5
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