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Simplifying 10 + 7v = 3 + 8v Solving 10 + 7v = 3 + 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. 10 + 7v + -8v = 3 + 8v + -8v Combine like terms: 7v + -8v = -1v 10 + -1v = 3 + 8v + -8v Combine like terms: 8v + -8v = 0 10 + -1v = 3 + 0 10 + -1v = 3 Add '-10' to each side of the equation. 10 + -10 + -1v = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -1v = 3 + -10 -1v = 3 + -10 Combine like terms: 3 + -10 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7
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