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Simplifying 84v + 105 = 42v + -126 Reorder the terms: 105 + 84v = 42v + -126 Reorder the terms: 105 + 84v = -126 + 42v Solving 105 + 84v = -126 + 42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42v' to each side of the equation. 105 + 84v + -42v = -126 + 42v + -42v Combine like terms: 84v + -42v = 42v 105 + 42v = -126 + 42v + -42v Combine like terms: 42v + -42v = 0 105 + 42v = -126 + 0 105 + 42v = -126 Add '-105' to each side of the equation. 105 + -105 + 42v = -126 + -105 Combine like terms: 105 + -105 = 0 0 + 42v = -126 + -105 42v = -126 + -105 Combine like terms: -126 + -105 = -231 42v = -231 Divide each side by '42'. v = -5.5 Simplifying v = -5.5
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