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Simplifying 1 + 7v + 4v = 7v + -3 Combine like terms: 7v + 4v = 11v 1 + 11v = 7v + -3 Reorder the terms: 1 + 11v = -3 + 7v Solving 1 + 11v = -3 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 1 + 11v + -7v = -3 + 7v + -7v Combine like terms: 11v + -7v = 4v 1 + 4v = -3 + 7v + -7v Combine like terms: 7v + -7v = 0 1 + 4v = -3 + 0 1 + 4v = -3 Add '-1' to each side of the equation. 1 + -1 + 4v = -3 + -1 Combine like terms: 1 + -1 = 0 0 + 4v = -3 + -1 4v = -3 + -1 Combine like terms: -3 + -1 = -4 4v = -4 Divide each side by '4'. v = -1 Simplifying v = -1
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