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Simplifying 4(3v + -7) = -31 + -5v Reorder the terms: 4(-7 + 3v) = -31 + -5v (-7 * 4 + 3v * 4) = -31 + -5v (-28 + 12v) = -31 + -5v Solving -28 + 12v = -31 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -28 + 12v + 5v = -31 + -5v + 5v Combine like terms: 12v + 5v = 17v -28 + 17v = -31 + -5v + 5v Combine like terms: -5v + 5v = 0 -28 + 17v = -31 + 0 -28 + 17v = -31 Add '28' to each side of the equation. -28 + 28 + 17v = -31 + 28 Combine like terms: -28 + 28 = 0 0 + 17v = -31 + 28 17v = -31 + 28 Combine like terms: -31 + 28 = -3 17v = -3 Divide each side by '17'. v = -0.1764705882 Simplifying v = -0.1764705882
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