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Simplifying 26 = 5(v + 6) + -7v Reorder the terms: 26 = 5(6 + v) + -7v 26 = (6 * 5 + v * 5) + -7v 26 = (30 + 5v) + -7v Combine like terms: 5v + -7v = -2v 26 = 30 + -2v Solving 26 = 30 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 26 + 2v = 30 + -2v + 2v Combine like terms: -2v + 2v = 0 26 + 2v = 30 + 0 26 + 2v = 30 Add '-26' to each side of the equation. 26 + -26 + 2v = 30 + -26 Combine like terms: 26 + -26 = 0 0 + 2v = 30 + -26 2v = 30 + -26 Combine like terms: 30 + -26 = 4 2v = 4 Divide each side by '2'. v = 2 Simplifying v = 2
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