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Simplifying 3(-4v + -7) + -2v = -12 + -5v Reorder the terms: 3(-7 + -4v) + -2v = -12 + -5v (-7 * 3 + -4v * 3) + -2v = -12 + -5v (-21 + -12v) + -2v = -12 + -5v Combine like terms: -12v + -2v = -14v -21 + -14v = -12 + -5v Solving -21 + -14v = -12 + -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. -21 + -14v + 5v = -12 + -5v + 5v Combine like terms: -14v + 5v = -9v -21 + -9v = -12 + -5v + 5v Combine like terms: -5v + 5v = 0 -21 + -9v = -12 + 0 -21 + -9v = -12 Add '21' to each side of the equation. -21 + 21 + -9v = -12 + 21 Combine like terms: -21 + 21 = 0 0 + -9v = -12 + 21 -9v = -12 + 21 Combine like terms: -12 + 21 = 9 -9v = 9 Divide each side by '-9'. v = -1 Simplifying v = -1
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