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Simplifying -17 = 2(v + -5) + 5v Reorder the terms: -17 = 2(-5 + v) + 5v -17 = (-5 * 2 + v * 2) + 5v -17 = (-10 + 2v) + 5v Combine like terms: 2v + 5v = 7v -17 = -10 + 7v Solving -17 = -10 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -17 + -7v = -10 + 7v + -7v Combine like terms: 7v + -7v = 0 -17 + -7v = -10 + 0 -17 + -7v = -10 Add '17' to each side of the equation. -17 + 17 + -7v = -10 + 17 Combine like terms: -17 + 17 = 0 0 + -7v = -10 + 17 -7v = -10 + 17 Combine like terms: -10 + 17 = 7 -7v = 7 Divide each side by '-7'. v = -1 Simplifying v = -1
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