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Simplifying 24 + 8v = -4(5v + 8) Reorder the terms: 24 + 8v = -4(8 + 5v) 24 + 8v = (8 * -4 + 5v * -4) 24 + 8v = (-32 + -20v) Solving 24 + 8v = -32 + -20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '20v' to each side of the equation. 24 + 8v + 20v = -32 + -20v + 20v Combine like terms: 8v + 20v = 28v 24 + 28v = -32 + -20v + 20v Combine like terms: -20v + 20v = 0 24 + 28v = -32 + 0 24 + 28v = -32 Add '-24' to each side of the equation. 24 + -24 + 28v = -32 + -24 Combine like terms: 24 + -24 = 0 0 + 28v = -32 + -24 28v = -32 + -24 Combine like terms: -32 + -24 = -56 28v = -56 Divide each side by '28'. v = -2 Simplifying v = -2
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