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Simplifying -3(4v + -2) + -7 = -97 Reorder the terms: -3(-2 + 4v) + -7 = -97 (-2 * -3 + 4v * -3) + -7 = -97 (6 + -12v) + -7 = -97 Reorder the terms: 6 + -7 + -12v = -97 Combine like terms: 6 + -7 = -1 -1 + -12v = -97 Solving -1 + -12v = -97 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -12v = -97 + 1 Combine like terms: -1 + 1 = 0 0 + -12v = -97 + 1 -12v = -97 + 1 Combine like terms: -97 + 1 = -96 -12v = -96 Divide each side by '-12'. v = 8 Simplifying v = 8
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