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Simplifying 3v + 1 = 7v + -19 Reorder the terms: 1 + 3v = 7v + -19 Reorder the terms: 1 + 3v = -19 + 7v Solving 1 + 3v = -19 + 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 + 3v + -7v = -19 + 7v + -7v Combine like terms: 3v + -7v = -4v 1 + -4v = -19 + 7v + -7v Combine like terms: 7v + -7v = 0 1 + -4v = -19 + 0 1 + -4v = -19 Add '-1' to each side of the equation. 1 + -1 + -4v = -19 + -1 Combine like terms: 1 + -1 = 0 0 + -4v = -19 + -1 -4v = -19 + -1 Combine like terms: -19 + -1 = -20 -4v = -20 Divide each side by '-4'. v = 5 Simplifying v = 5
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