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Simplifying -83 = -2(-6v + -3) + 7 Reorder the terms: -83 = -2(-3 + -6v) + 7 -83 = (-3 * -2 + -6v * -2) + 7 -83 = (6 + 12v) + 7 Reorder the terms: -83 = 6 + 7 + 12v Combine like terms: 6 + 7 = 13 -83 = 13 + 12v Solving -83 = 13 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -83 + -12v = 13 + 12v + -12v Combine like terms: 12v + -12v = 0 -83 + -12v = 13 + 0 -83 + -12v = 13 Add '83' to each side of the equation. -83 + 83 + -12v = 13 + 83 Combine like terms: -83 + 83 = 0 0 + -12v = 13 + 83 -12v = 13 + 83 Combine like terms: 13 + 83 = 96 -12v = 96 Divide each side by '-12'. v = -8 Simplifying v = -8
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