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Simplifying 2(v + 7) + -4v = -6 Reorder the terms: 2(7 + v) + -4v = -6 (7 * 2 + v * 2) + -4v = -6 (14 + 2v) + -4v = -6 Combine like terms: 2v + -4v = -2v 14 + -2v = -6 Solving 14 + -2v = -6 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -2v = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -2v = -6 + -14 -2v = -6 + -14 Combine like terms: -6 + -14 = -20 -2v = -20 Divide each side by '-2'. v = 10 Simplifying v = 10
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