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Simplifying 7 + -1v + 5v = 1 + 5v Combine like terms: -1v + 5v = 4v 7 + 4v = 1 + 5v Solving 7 + 4v = 1 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 7 + 4v + -5v = 1 + 5v + -5v Combine like terms: 4v + -5v = -1v 7 + -1v = 1 + 5v + -5v Combine like terms: 5v + -5v = 0 7 + -1v = 1 + 0 7 + -1v = 1 Add '-7' to each side of the equation. 7 + -7 + -1v = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 1 + -7 -1v = 1 + -7 Combine like terms: 1 + -7 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6
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