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Simplifying -31 = -5v + 3(v + -7) Reorder the terms: -31 = -5v + 3(-7 + v) -31 = -5v + (-7 * 3 + v * 3) -31 = -5v + (-21 + 3v) Reorder the terms: -31 = -21 + -5v + 3v Combine like terms: -5v + 3v = -2v -31 = -21 + -2v Solving -31 = -21 + -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. -31 + 2v = -21 + -2v + 2v Combine like terms: -2v + 2v = 0 -31 + 2v = -21 + 0 -31 + 2v = -21 Add '31' to each side of the equation. -31 + 31 + 2v = -21 + 31 Combine like terms: -31 + 31 = 0 0 + 2v = -21 + 31 2v = -21 + 31 Combine like terms: -21 + 31 = 10 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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