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Simplifying 4(v + -2) = 8v + 24 Reorder the terms: 4(-2 + v) = 8v + 24 (-2 * 4 + v * 4) = 8v + 24 (-8 + 4v) = 8v + 24 Reorder the terms: -8 + 4v = 24 + 8v Solving -8 + 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. -8 + 4v + -8v = 24 + 8v + -8v Combine like terms: 4v + -8v = -4v -8 + -4v = 24 + 8v + -8v Combine like terms: 8v + -8v = 0 -8 + -4v = 24 + 0 -8 + -4v = 24 Add '8' to each side of the equation. -8 + 8 + -4v = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -4v = 24 + 8 -4v = 24 + 8 Combine like terms: 24 + 8 = 32 -4v = 32 Divide each side by '-4'. v = -8 Simplifying v = -8
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