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