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Simplifying 26 = 5(v + 7) + -2v Reorder the terms: 26 = 5(7 + v) + -2v 26 = (7 * 5 + v * 5) + -2v 26 = (35 + 5v) + -2v Combine like terms: 5v + -2v = 3v 26 = 35 + 3v Solving 26 = 35 + 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. 26 + -3v = 35 + 3v + -3v Combine like terms: 3v + -3v = 0 26 + -3v = 35 + 0 26 + -3v = 35 Add '-26' to each side of the equation. 26 + -26 + -3v = 35 + -26 Combine like terms: 26 + -26 = 0 0 + -3v = 35 + -26 -3v = 35 + -26 Combine like terms: 35 + -26 = 9 -3v = 9 Divide each side by '-3'. v = -3 Simplifying v = -3
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