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Simplifying (2v + 1) + -3(8 + 2v) = -17 Reorder the terms: (1 + 2v) + -3(8 + 2v) = -17 Remove parenthesis around (1 + 2v) 1 + 2v + -3(8 + 2v) = -17 1 + 2v + (8 * -3 + 2v * -3) = -17 1 + 2v + (-24 + -6v) = -17 Reorder the terms: 1 + -24 + 2v + -6v = -17 Combine like terms: 1 + -24 = -23 -23 + 2v + -6v = -17 Combine like terms: 2v + -6v = -4v -23 + -4v = -17 Solving -23 + -4v = -17 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -4v = -17 + 23 Combine like terms: -23 + 23 = 0 0 + -4v = -17 + 23 -4v = -17 + 23 Combine like terms: -17 + 23 = 6 -4v = 6 Divide each side by '-4'. v = -1.5 Simplifying v = -1.5
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