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Simplifying 7v + 1 = -4v + 12 Reorder the terms: 1 + 7v = -4v + 12 Reorder the terms: 1 + 7v = 12 + -4v Solving 1 + 7v = 12 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 1 + 7v + 4v = 12 + -4v + 4v Combine like terms: 7v + 4v = 11v 1 + 11v = 12 + -4v + 4v Combine like terms: -4v + 4v = 0 1 + 11v = 12 + 0 1 + 11v = 12 Add '-1' to each side of the equation. 1 + -1 + 11v = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 11v = 12 + -1 11v = 12 + -1 Combine like terms: 12 + -1 = 11 11v = 11 Divide each side by '11'. v = 1 Simplifying v = 1
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