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Simplifying 96 = 6(v + -83) + 6 Reorder the terms: 96 = 6(-83 + v) + 6 96 = (-83 * 6 + v * 6) + 6 96 = (-498 + 6v) + 6 Reorder the terms: 96 = -498 + 6 + 6v Combine like terms: -498 + 6 = -492 96 = -492 + 6v Solving 96 = -492 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 96 + -6v = -492 + 6v + -6v Combine like terms: 6v + -6v = 0 96 + -6v = -492 + 0 96 + -6v = -492 Add '-96' to each side of the equation. 96 + -96 + -6v = -492 + -96 Combine like terms: 96 + -96 = 0 0 + -6v = -492 + -96 -6v = -492 + -96 Combine like terms: -492 + -96 = -588 -6v = -588 Divide each side by '-6'. v = 98 Simplifying v = 98
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