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Simplifying v + 41 = 8v + 13 Reorder the terms: 41 + v = 8v + 13 Reorder the terms: 41 + v = 13 + 8v Solving 41 + v = 13 + 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. 41 + v + -8v = 13 + 8v + -8v Combine like terms: v + -8v = -7v 41 + -7v = 13 + 8v + -8v Combine like terms: 8v + -8v = 0 41 + -7v = 13 + 0 41 + -7v = 13 Add '-41' to each side of the equation. 41 + -41 + -7v = 13 + -41 Combine like terms: 41 + -41 = 0 0 + -7v = 13 + -41 -7v = 13 + -41 Combine like terms: 13 + -41 = -28 -7v = -28 Divide each side by '-7'. v = 4 Simplifying v = 4
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