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Simplifying 7v + 3 = 8v + -7 + 6 Reorder the terms: 3 + 7v = 8v + -7 + 6 Reorder the terms: 3 + 7v = -7 + 6 + 8v Combine like terms: -7 + 6 = -1 3 + 7v = -1 + 8v Solving 3 + 7v = -1 + 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. 3 + 7v + -8v = -1 + 8v + -8v Combine like terms: 7v + -8v = -1v 3 + -1v = -1 + 8v + -8v Combine like terms: 8v + -8v = 0 3 + -1v = -1 + 0 3 + -1v = -1 Add '-3' to each side of the equation. 3 + -3 + -1v = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = -1 + -3 -1v = -1 + -3 Combine like terms: -1 + -3 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4
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