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Simplifying -4(v + 6) = 4v + 48 Reorder the terms: -4(6 + v) = 4v + 48 (6 * -4 + v * -4) = 4v + 48 (-24 + -4v) = 4v + 48 Reorder the terms: -24 + -4v = 48 + 4v Solving -24 + -4v = 48 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -24 + -4v + -4v = 48 + 4v + -4v Combine like terms: -4v + -4v = -8v -24 + -8v = 48 + 4v + -4v Combine like terms: 4v + -4v = 0 -24 + -8v = 48 + 0 -24 + -8v = 48 Add '24' to each side of the equation. -24 + 24 + -8v = 48 + 24 Combine like terms: -24 + 24 = 0 0 + -8v = 48 + 24 -8v = 48 + 24 Combine like terms: 48 + 24 = 72 -8v = 72 Divide each side by '-8'. v = -9 Simplifying v = -9
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