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Simplifying 1 + 7v = 8v + -4 Reorder the terms: 1 + 7v = -4 + 8v Solving 1 + 7v = -4 + 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. 1 + 7v + -8v = -4 + 8v + -8v Combine like terms: 7v + -8v = -1v 1 + -1v = -4 + 8v + -8v Combine like terms: 8v + -8v = 0 1 + -1v = -4 + 0 1 + -1v = -4 Add '-1' to each side of the equation. 1 + -1 + -1v = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = -4 + -1 -1v = -4 + -1 Combine like terms: -4 + -1 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5
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