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Simplifying 8 = 8 + -1v + -4(v + 8) Reorder the terms: 8 = 8 + -1v + -4(8 + v) 8 = 8 + -1v + (8 * -4 + v * -4) 8 = 8 + -1v + (-32 + -4v) Reorder the terms: 8 = 8 + -32 + -1v + -4v Combine like terms: 8 + -32 = -24 8 = -24 + -1v + -4v Combine like terms: -1v + -4v = -5v 8 = -24 + -5v Solving 8 = -24 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 8 + 5v = -24 + -5v + 5v Combine like terms: -5v + 5v = 0 8 + 5v = -24 + 0 8 + 5v = -24 Add '-8' to each side of the equation. 8 + -8 + 5v = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 5v = -24 + -8 5v = -24 + -8 Combine like terms: -24 + -8 = -32 5v = -32 Divide each side by '5'. v = -6.4 Simplifying v = -6.4
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