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Simplifying 5v + -6 = -8v + 7 Reorder the terms: -6 + 5v = -8v + 7 Reorder the terms: -6 + 5v = 7 + -8v Solving -6 + 5v = 7 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -6 + 5v + 8v = 7 + -8v + 8v Combine like terms: 5v + 8v = 13v -6 + 13v = 7 + -8v + 8v Combine like terms: -8v + 8v = 0 -6 + 13v = 7 + 0 -6 + 13v = 7 Add '6' to each side of the equation. -6 + 6 + 13v = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 13v = 7 + 6 13v = 7 + 6 Combine like terms: 7 + 6 = 13 13v = 13 Divide each side by '13'. v = 1 Simplifying v = 1
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