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Simplifying 8 = -8v + 4(v + -5) Reorder the terms: 8 = -8v + 4(-5 + v) 8 = -8v + (-5 * 4 + v * 4) 8 = -8v + (-20 + 4v) Reorder the terms: 8 = -20 + -8v + 4v Combine like terms: -8v + 4v = -4v 8 = -20 + -4v Solving 8 = -20 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 8 + 4v = -20 + -4v + 4v Combine like terms: -4v + 4v = 0 8 + 4v = -20 + 0 8 + 4v = -20 Add '-8' to each side of the equation. 8 + -8 + 4v = -20 + -8 Combine like terms: 8 + -8 = 0 0 + 4v = -20 + -8 4v = -20 + -8 Combine like terms: -20 + -8 = -28 4v = -28 Divide each side by '4'. v = -7 Simplifying v = -7
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