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Simplifying 1 = 5(v + 2) + -8v Reorder the terms: 1 = 5(2 + v) + -8v 1 = (2 * 5 + v * 5) + -8v 1 = (10 + 5v) + -8v Combine like terms: 5v + -8v = -3v 1 = 10 + -3v Solving 1 = 10 + -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. 1 + 3v = 10 + -3v + 3v Combine like terms: -3v + 3v = 0 1 + 3v = 10 + 0 1 + 3v = 10 Add '-1' to each side of the equation. 1 + -1 + 3v = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 3v = 10 + -1 3v = 10 + -1 Combine like terms: 10 + -1 = 9 3v = 9 Divide each side by '3'. v = 3 Simplifying v = 3
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