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