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Simplifying 5v + -2 = 2(v + -7) Reorder the terms: -2 + 5v = 2(v + -7) Reorder the terms: -2 + 5v = 2(-7 + v) -2 + 5v = (-7 * 2 + v * 2) -2 + 5v = (-14 + 2v) Solving -2 + 5v = -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. -2 + 5v + -2v = -14 + 2v + -2v Combine like terms: 5v + -2v = 3v -2 + 3v = -14 + 2v + -2v Combine like terms: 2v + -2v = 0 -2 + 3v = -14 + 0 -2 + 3v = -14 Add '2' to each side of the equation. -2 + 2 + 3v = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 3v = -14 + 2 3v = -14 + 2 Combine like terms: -14 + 2 = -12 3v = -12 Divide each side by '3'. v = -4 Simplifying v = -4
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