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Simplifying 2(v + -5) + -5v = -7 Reorder the terms: 2(-5 + v) + -5v = -7 (-5 * 2 + v * 2) + -5v = -7 (-10 + 2v) + -5v = -7 Combine like terms: 2v + -5v = -3v -10 + -3v = -7 Solving -10 + -3v = -7 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3v = -7 + 10 Combine like terms: -10 + 10 = 0 0 + -3v = -7 + 10 -3v = -7 + 10 Combine like terms: -7 + 10 = 3 -3v = 3 Divide each side by '-3'. v = -1 Simplifying v = -1
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