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Simplifying -17 = -7 + 5(v + -5) Reorder the terms: -17 = -7 + 5(-5 + v) -17 = -7 + (-5 * 5 + v * 5) -17 = -7 + (-25 + 5v) Combine like terms: -7 + -25 = -32 -17 = -32 + 5v Solving -17 = -32 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -17 + -5v = -32 + 5v + -5v Combine like terms: 5v + -5v = 0 -17 + -5v = -32 + 0 -17 + -5v = -32 Add '17' to each side of the equation. -17 + 17 + -5v = -32 + 17 Combine like terms: -17 + 17 = 0 0 + -5v = -32 + 17 -5v = -32 + 17 Combine like terms: -32 + 17 = -15 -5v = -15 Divide each side by '-5'. v = 3 Simplifying v = 3
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