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Simplifying 5 + -8v = -1 + -7v + 8 + 5 Reorder the terms: 5 + -8v = -1 + 8 + 5 + -7v Combine like terms: -1 + 8 = 7 5 + -8v = 7 + 5 + -7v Combine like terms: 7 + 5 = 12 5 + -8v = 12 + -7v Solving 5 + -8v = 12 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 5 + -8v + 7v = 12 + -7v + 7v Combine like terms: -8v + 7v = -1v 5 + -1v = 12 + -7v + 7v Combine like terms: -7v + 7v = 0 5 + -1v = 12 + 0 5 + -1v = 12 Add '-5' to each side of the equation. 5 + -5 + -1v = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 12 + -5 -1v = 12 + -5 Combine like terms: 12 + -5 = 7 -1v = 7 Divide each side by '-1'. v = -7 Simplifying v = -7
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