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Simplifying 8 = 5(v + 7) + -8v Reorder the terms: 8 = 5(7 + v) + -8v 8 = (7 * 5 + v * 5) + -8v 8 = (35 + 5v) + -8v Combine like terms: 5v + -8v = -3v 8 = 35 + -3v Solving 8 = 35 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 8 + 3v = 35 + -3v + 3v Combine like terms: -3v + 3v = 0 8 + 3v = 35 + 0 8 + 3v = 35 Add '-8' to each side of the equation. 8 + -8 + 3v = 35 + -8 Combine like terms: 8 + -8 = 0 0 + 3v = 35 + -8 3v = 35 + -8 Combine like terms: 35 + -8 = 27 3v = 27 Divide each side by '3'. v = 9 Simplifying v = 9
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