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Simplifying v + -5 = 7 + 5(8 + -5v) Reorder the terms: -5 + v = 7 + 5(8 + -5v) -5 + v = 7 + (8 * 5 + -5v * 5) -5 + v = 7 + (40 + -25v) Combine like terms: 7 + 40 = 47 -5 + v = 47 + -25v Solving -5 + v = 47 + -25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '25v' to each side of the equation. -5 + v + 25v = 47 + -25v + 25v Combine like terms: v + 25v = 26v -5 + 26v = 47 + -25v + 25v Combine like terms: -25v + 25v = 0 -5 + 26v = 47 + 0 -5 + 26v = 47 Add '5' to each side of the equation. -5 + 5 + 26v = 47 + 5 Combine like terms: -5 + 5 = 0 0 + 26v = 47 + 5 26v = 47 + 5 Combine like terms: 47 + 5 = 52 26v = 52 Divide each side by '26'. v = 2 Simplifying v = 2
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