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Simplifying 2(2 + v) + -5(-2v + 7) = 17 (2 * 2 + v * 2) + -5(-2v + 7) = 17 (4 + 2v) + -5(-2v + 7) = 17 Reorder the terms: 4 + 2v + -5(7 + -2v) = 17 4 + 2v + (7 * -5 + -2v * -5) = 17 4 + 2v + (-35 + 10v) = 17 Reorder the terms: 4 + -35 + 2v + 10v = 17 Combine like terms: 4 + -35 = -31 -31 + 2v + 10v = 17 Combine like terms: 2v + 10v = 12v -31 + 12v = 17 Solving -31 + 12v = 17 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 12v = 17 + 31 Combine like terms: -31 + 31 = 0 0 + 12v = 17 + 31 12v = 17 + 31 Combine like terms: 17 + 31 = 48 12v = 48 Divide each side by '12'. v = 4 Simplifying v = 4
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