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Simplifying 8v + 25 = -9(v + 1) Reorder the terms: 25 + 8v = -9(v + 1) Reorder the terms: 25 + 8v = -9(1 + v) 25 + 8v = (1 * -9 + v * -9) 25 + 8v = (-9 + -9v) Solving 25 + 8v = -9 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 25 + 8v + 9v = -9 + -9v + 9v Combine like terms: 8v + 9v = 17v 25 + 17v = -9 + -9v + 9v Combine like terms: -9v + 9v = 0 25 + 17v = -9 + 0 25 + 17v = -9 Add '-25' to each side of the equation. 25 + -25 + 17v = -9 + -25 Combine like terms: 25 + -25 = 0 0 + 17v = -9 + -25 17v = -9 + -25 Combine like terms: -9 + -25 = -34 17v = -34 Divide each side by '17'. v = -2 Simplifying v = -2
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