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Simplifying 8v + 26 = 5(v + 8) + -2 Reorder the terms: 26 + 8v = 5(v + 8) + -2 Reorder the terms: 26 + 8v = 5(8 + v) + -2 26 + 8v = (8 * 5 + v * 5) + -2 26 + 8v = (40 + 5v) + -2 Reorder the terms: 26 + 8v = 40 + -2 + 5v Combine like terms: 40 + -2 = 38 26 + 8v = 38 + 5v Solving 26 + 8v = 38 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 26 + 8v + -5v = 38 + 5v + -5v Combine like terms: 8v + -5v = 3v 26 + 3v = 38 + 5v + -5v Combine like terms: 5v + -5v = 0 26 + 3v = 38 + 0 26 + 3v = 38 Add '-26' to each side of the equation. 26 + -26 + 3v = 38 + -26 Combine like terms: 26 + -26 = 0 0 + 3v = 38 + -26 3v = 38 + -26 Combine like terms: 38 + -26 = 12 3v = 12 Divide each side by '3'. v = 4 Simplifying v = 4
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