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Simplifying 5v + 25 = -5(v + 7) Reorder the terms: 25 + 5v = -5(v + 7) Reorder the terms: 25 + 5v = -5(7 + v) 25 + 5v = (7 * -5 + v * -5) 25 + 5v = (-35 + -5v) Solving 25 + 5v = -35 + -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. 25 + 5v + 5v = -35 + -5v + 5v Combine like terms: 5v + 5v = 10v 25 + 10v = -35 + -5v + 5v Combine like terms: -5v + 5v = 0 25 + 10v = -35 + 0 25 + 10v = -35 Add '-25' to each side of the equation. 25 + -25 + 10v = -35 + -25 Combine like terms: 25 + -25 = 0 0 + 10v = -35 + -25 10v = -35 + -25 Combine like terms: -35 + -25 = -60 10v = -60 Divide each side by '10'. v = -6 Simplifying v = -6
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