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Simplifying 5(v + 2) + -8v = -17 Reorder the terms: 5(2 + v) + -8v = -17 (2 * 5 + v * 5) + -8v = -17 (10 + 5v) + -8v = -17 Combine like terms: 5v + -8v = -3v 10 + -3v = -17 Solving 10 + -3v = -17 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3v = -17 + -10 Combine like terms: 10 + -10 = 0 0 + -3v = -17 + -10 -3v = -17 + -10 Combine like terms: -17 + -10 = -27 -3v = -27 Divide each side by '-3'. v = 9 Simplifying v = 9
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