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Simplifying 8 = 4(v + 5) + -7v Reorder the terms: 8 = 4(5 + v) + -7v 8 = (5 * 4 + v * 4) + -7v 8 = (20 + 4v) + -7v Combine like terms: 4v + -7v = -3v 8 = 20 + -3v Solving 8 = 20 + -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 = 20 + -3v + 3v Combine like terms: -3v + 3v = 0 8 + 3v = 20 + 0 8 + 3v = 20 Add '-8' to each side of the equation. 8 + -8 + 3v = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 3v = 20 + -8 3v = 20 + -8 Combine like terms: 20 + -8 = 12 3v = 12 Divide each side by '3'. v = 4 Simplifying v = 4
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