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Simplifying 26 + 2v = 7(6v + 3) Reorder the terms: 26 + 2v = 7(3 + 6v) 26 + 2v = (3 * 7 + 6v * 7) 26 + 2v = (21 + 42v) Solving 26 + 2v = 21 + 42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42v' to each side of the equation. 26 + 2v + -42v = 21 + 42v + -42v Combine like terms: 2v + -42v = -40v 26 + -40v = 21 + 42v + -42v Combine like terms: 42v + -42v = 0 26 + -40v = 21 + 0 26 + -40v = 21 Add '-26' to each side of the equation. 26 + -26 + -40v = 21 + -26 Combine like terms: 26 + -26 = 0 0 + -40v = 21 + -26 -40v = 21 + -26 Combine like terms: 21 + -26 = -5 -40v = -5 Divide each side by '-40'. v = 0.125 Simplifying v = 0.125
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