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Simplifying -10 = 2(v + 7) + -8v Reorder the terms: -10 = 2(7 + v) + -8v -10 = (7 * 2 + v * 2) + -8v -10 = (14 + 2v) + -8v Combine like terms: 2v + -8v = -6v -10 = 14 + -6v Solving -10 = 14 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -10 + 6v = 14 + -6v + 6v Combine like terms: -6v + 6v = 0 -10 + 6v = 14 + 0 -10 + 6v = 14 Add '10' to each side of the equation. -10 + 10 + 6v = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 6v = 14 + 10 6v = 14 + 10 Combine like terms: 14 + 10 = 24 6v = 24 Divide each side by '6'. v = 4 Simplifying v = 4
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