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Simplifying 5v + -31 = 3(v + -7) Reorder the terms: -31 + 5v = 3(v + -7) Reorder the terms: -31 + 5v = 3(-7 + v) -31 + 5v = (-7 * 3 + v * 3) -31 + 5v = (-21 + 3v) Solving -31 + 5v = -21 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -31 + 5v + -3v = -21 + 3v + -3v Combine like terms: 5v + -3v = 2v -31 + 2v = -21 + 3v + -3v Combine like terms: 3v + -3v = 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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