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Simplifying 8v + -7 = 1 + 8v + v + -13 Reorder the terms: -7 + 8v = 1 + 8v + v + -13 Reorder the terms: -7 + 8v = 1 + -13 + 8v + v Combine like terms: 1 + -13 = -12 -7 + 8v = -12 + 8v + v Combine like terms: 8v + v = 9v -7 + 8v = -12 + 9v Solving -7 + 8v = -12 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -7 + 8v + -9v = -12 + 9v + -9v Combine like terms: 8v + -9v = -1v -7 + -1v = -12 + 9v + -9v Combine like terms: 9v + -9v = 0 -7 + -1v = -12 + 0 -7 + -1v = -12 Add '7' to each side of the equation. -7 + 7 + -1v = -12 + 7 Combine like terms: -7 + 7 = 0 0 + -1v = -12 + 7 -1v = -12 + 7 Combine like terms: -12 + 7 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5
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