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Simplifying -1v + 5(v + 5) = 1 + -8v Reorder the terms: -1v + 5(5 + v) = 1 + -8v -1v + (5 * 5 + v * 5) = 1 + -8v -1v + (25 + 5v) = 1 + -8v Reorder the terms: 25 + -1v + 5v = 1 + -8v Combine like terms: -1v + 5v = 4v 25 + 4v = 1 + -8v Solving 25 + 4v = 1 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 25 + 4v + 8v = 1 + -8v + 8v Combine like terms: 4v + 8v = 12v 25 + 12v = 1 + -8v + 8v Combine like terms: -8v + 8v = 0 25 + 12v = 1 + 0 25 + 12v = 1 Add '-25' to each side of the equation. 25 + -25 + 12v = 1 + -25 Combine like terms: 25 + -25 = 0 0 + 12v = 1 + -25 12v = 1 + -25 Combine like terms: 1 + -25 = -24 12v = -24 Divide each side by '12'. v = -2 Simplifying v = -2
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