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Simplifying 26 = 3v + 5(v + 2) Reorder the terms: 26 = 3v + 5(2 + v) 26 = 3v + (2 * 5 + v * 5) 26 = 3v + (10 + 5v) Reorder the terms: 26 = 10 + 3v + 5v Combine like terms: 3v + 5v = 8v 26 = 10 + 8v Solving 26 = 10 + 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. 26 + -8v = 10 + 8v + -8v Combine like terms: 8v + -8v = 0 26 + -8v = 10 + 0 26 + -8v = 10 Add '-26' to each side of the equation. 26 + -26 + -8v = 10 + -26 Combine like terms: 26 + -26 = 0 0 + -8v = 10 + -26 -8v = 10 + -26 Combine like terms: 10 + -26 = -16 -8v = -16 Divide each side by '-8'. v = 2 Simplifying v = 2
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