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Simplifying 4 = -8v + 4(v + 8) Reorder the terms: 4 = -8v + 4(8 + v) 4 = -8v + (8 * 4 + v * 4) 4 = -8v + (32 + 4v) Reorder the terms: 4 = 32 + -8v + 4v Combine like terms: -8v + 4v = -4v 4 = 32 + -4v Solving 4 = 32 + -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. 4 + 4v = 32 + -4v + 4v Combine like terms: -4v + 4v = 0 4 + 4v = 32 + 0 4 + 4v = 32 Add '-4' to each side of the equation. 4 + -4 + 4v = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 4v = 32 + -4 4v = 32 + -4 Combine like terms: 32 + -4 = 28 4v = 28 Divide each side by '4'. v = 7 Simplifying v = 7
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