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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 Reorder the terms: -32 + 4v = 24 + 8v Solving -32 + 4v = 24 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -32 + 4v + -8v = 24 + 8v + -8v Combine like terms: 4v + -8v = -4v -32 + -4v = 24 + 8v + -8v Combine like terms: 8v + -8v = 0 -32 + -4v = 24 + 0 -32 + -4v = 24 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 = 56 -4v = 56 Divide each side by '-4'. v = -14 Simplifying v = -14
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