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Simplifying 7v + -25 = -2(v + 8) Reorder the terms: -25 + 7v = -2(v + 8) Reorder the terms: -25 + 7v = -2(8 + v) -25 + 7v = (8 * -2 + v * -2) -25 + 7v = (-16 + -2v) Solving -25 + 7v = -16 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -25 + 7v + 2v = -16 + -2v + 2v Combine like terms: 7v + 2v = 9v -25 + 9v = -16 + -2v + 2v Combine like terms: -2v + 2v = 0 -25 + 9v = -16 + 0 -25 + 9v = -16 Add '25' to each side of the equation. -25 + 25 + 9v = -16 + 25 Combine like terms: -25 + 25 = 0 0 + 9v = -16 + 25 9v = -16 + 25 Combine like terms: -16 + 25 = 9 9v = 9 Divide each side by '9'. v = 1 Simplifying v = 1
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