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Simplifying 2(v + -7) + -5v = -8 Reorder the terms: 2(-7 + v) + -5v = -8 (-7 * 2 + v * 2) + -5v = -8 (-14 + 2v) + -5v = -8 Combine like terms: 2v + -5v = -3v -14 + -3v = -8 Solving -14 + -3v = -8 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 + -3v = -8 + 14 Combine like terms: -14 + 14 = 0 0 + -3v = -8 + 14 -3v = -8 + 14 Combine like terms: -8 + 14 = 6 -3v = 6 Divide each side by '-3'. v = -2 Simplifying v = -2
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