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Simplifying 7 = -3v + 1 + -3v Reorder the terms: 7 = 1 + -3v + -3v Combine like terms: -3v + -3v = -6v 7 = 1 + -6v Solving 7 = 1 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 7 + 6v = 1 + -6v + 6v Combine like terms: -6v + 6v = 0 7 + 6v = 1 + 0 7 + 6v = 1 Add '-7' to each side of the equation. 7 + -7 + 6v = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 6v = 1 + -7 6v = 1 + -7 Combine like terms: 1 + -7 = -6 6v = -6 Divide each side by '6'. v = -1 Simplifying v = -1
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