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Simplifying 2(v + 7) = -8v + -26 Reorder the terms: 2(7 + v) = -8v + -26 (7 * 2 + v * 2) = -8v + -26 (14 + 2v) = -8v + -26 Reorder the terms: 14 + 2v = -26 + -8v Solving 14 + 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. 14 + 2v + 8v = -26 + -8v + 8v Combine like terms: 2v + 8v = 10v 14 + 10v = -26 + -8v + 8v Combine like terms: -8v + 8v = 0 14 + 10v = -26 + 0 14 + 10v = -26 Add '-14' to each side of the equation. 14 + -14 + 10v = -26 + -14 Combine like terms: 14 + -14 = 0 0 + 10v = -26 + -14 10v = -26 + -14 Combine like terms: -26 + -14 = -40 10v = -40 Divide each side by '10'. v = -4 Simplifying v = -4
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