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