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Simplifying -10 = 5(v + 4) + -8v Reorder the terms: -10 = 5(4 + v) + -8v -10 = (4 * 5 + v * 5) + -8v -10 = (20 + 5v) + -8v Combine like terms: 5v + -8v = -3v -10 = 20 + -3v Solving -10 = 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. -10 + 3v = 20 + -3v + 3v Combine like terms: -3v + 3v = 0 -10 + 3v = 20 + 0 -10 + 3v = 20 Add '10' to each side of the equation. -10 + 10 + 3v = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 3v = 20 + 10 3v = 20 + 10 Combine like terms: 20 + 10 = 30 3v = 30 Divide each side by '3'. v = 10 Simplifying v = 10
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