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Simplifying 2(v + 8) = 8v + -26 Reorder the terms: 2(8 + v) = 8v + -26 (8 * 2 + v * 2) = 8v + -26 (16 + 2v) = 8v + -26 Reorder the terms: 16 + 2v = -26 + 8v Solving 16 + 2v = -26 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 16 + 2v + -8v = -26 + 8v + -8v Combine like terms: 2v + -8v = -6v 16 + -6v = -26 + 8v + -8v Combine like terms: 8v + -8v = 0 16 + -6v = -26 + 0 16 + -6v = -26 Add '-16' to each side of the equation. 16 + -16 + -6v = -26 + -16 Combine like terms: 16 + -16 = 0 0 + -6v = -26 + -16 -6v = -26 + -16 Combine like terms: -26 + -16 = -42 -6v = -42 Divide each side by '-6'. v = 7 Simplifying v = 7
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