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Simplifying -7v + -17 = -5(v + 5) Reorder the terms: -17 + -7v = -5(v + 5) Reorder the terms: -17 + -7v = -5(5 + v) -17 + -7v = (5 * -5 + v * -5) -17 + -7v = (-25 + -5v) Solving -17 + -7v = -25 + -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 + -7v + 5v = -25 + -5v + 5v Combine like terms: -7v + 5v = -2v -17 + -2v = -25 + -5v + 5v Combine like terms: -5v + 5v = 0 -17 + -2v = -25 + 0 -17 + -2v = -25 Add '17' to each side of the equation. -17 + 17 + -2v = -25 + 17 Combine like terms: -17 + 17 = 0 0 + -2v = -25 + 17 -2v = -25 + 17 Combine like terms: -25 + 17 = -8 -2v = -8 Divide each side by '-2'. v = 4 Simplifying v = 4
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