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Simplifying 26 = 5v + 7(v + 2) Reorder the terms: 26 = 5v + 7(2 + v) 26 = 5v + (2 * 7 + v * 7) 26 = 5v + (14 + 7v) Reorder the terms: 26 = 14 + 5v + 7v Combine like terms: 5v + 7v = 12v 26 = 14 + 12v Solving 26 = 14 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 26 + -12v = 14 + 12v + -12v Combine like terms: 12v + -12v = 0 26 + -12v = 14 + 0 26 + -12v = 14 Add '-26' to each side of the equation. 26 + -26 + -12v = 14 + -26 Combine like terms: 26 + -26 = 0 0 + -12v = 14 + -26 -12v = 14 + -26 Combine like terms: 14 + -26 = -12 -12v = -12 Divide each side by '-12'. v = 1 Simplifying v = 1
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