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Simplifying 4 = 2(v + -7) + -8v Reorder the terms: 4 = 2(-7 + v) + -8v 4 = (-7 * 2 + v * 2) + -8v 4 = (-14 + 2v) + -8v Combine like terms: 2v + -8v = -6v 4 = -14 + -6v Solving 4 = -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. 4 + 6v = -14 + -6v + 6v Combine like terms: -6v + 6v = 0 4 + 6v = -14 + 0 4 + 6v = -14 Add '-4' to each side of the equation. 4 + -4 + 6v = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 6v = -14 + -4 6v = -14 + -4 Combine like terms: -14 + -4 = -18 6v = -18 Divide each side by '6'. v = -3 Simplifying v = -3
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