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Simplifying 10 = -8v + 5(v + 5) Reorder the terms: 10 = -8v + 5(5 + v) 10 = -8v + (5 * 5 + v * 5) 10 = -8v + (25 + 5v) Reorder the terms: 10 = 25 + -8v + 5v Combine like terms: -8v + 5v = -3v 10 = 25 + -3v Solving 10 = 25 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 10 + 3v = 25 + -3v + 3v Combine like terms: -3v + 3v = 0 10 + 3v = 25 + 0 10 + 3v = 25 Add '-10' to each side of the equation. 10 + -10 + 3v = 25 + -10 Combine like terms: 10 + -10 = 0 0 + 3v = 25 + -10 3v = 25 + -10 Combine like terms: 25 + -10 = 15 3v = 15 Divide each side by '3'. v = 5 Simplifying v = 5
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