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Simplifying v + 3 = 2(v + -7) Reorder the terms: 3 + v = 2(v + -7) Reorder the terms: 3 + v = 2(-7 + v) 3 + v = (-7 * 2 + v * 2) 3 + v = (-14 + 2v) Solving 3 + v = -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. 3 + v + -2v = -14 + 2v + -2v Combine like terms: v + -2v = -1v 3 + -1v = -14 + 2v + -2v Combine like terms: 2v + -2v = 0 3 + -1v = -14 + 0 3 + -1v = -14 Add '-3' to each side of the equation. 3 + -3 + -1v = -14 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = -14 + -3 -1v = -14 + -3 Combine like terms: -14 + -3 = -17 -1v = -17 Divide each side by '-1'. v = 17 Simplifying v = 17
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