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Simplifying -8v + 49 = 5(v + 2) Reorder the terms: 49 + -8v = 5(v + 2) Reorder the terms: 49 + -8v = 5(2 + v) 49 + -8v = (2 * 5 + v * 5) 49 + -8v = (10 + 5v) Solving 49 + -8v = 10 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 49 + -8v + -5v = 10 + 5v + -5v Combine like terms: -8v + -5v = -13v 49 + -13v = 10 + 5v + -5v Combine like terms: 5v + -5v = 0 49 + -13v = 10 + 0 49 + -13v = 10 Add '-49' to each side of the equation. 49 + -49 + -13v = 10 + -49 Combine like terms: 49 + -49 = 0 0 + -13v = 10 + -49 -13v = 10 + -49 Combine like terms: 10 + -49 = -39 -13v = -39 Divide each side by '-13'. v = 3 Simplifying v = 3
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