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Simplifying -4(v + -4) = 4v + 48 Reorder the terms: -4(-4 + v) = 4v + 48 (-4 * -4 + v * -4) = 4v + 48 (16 + -4v) = 4v + 48 Reorder the terms: 16 + -4v = 48 + 4v Solving 16 + -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. 16 + -4v + -4v = 48 + 4v + -4v Combine like terms: -4v + -4v = -8v 16 + -8v = 48 + 4v + -4v Combine like terms: 4v + -4v = 0 16 + -8v = 48 + 0 16 + -8v = 48 Add '-16' to each side of the equation. 16 + -16 + -8v = 48 + -16 Combine like terms: 16 + -16 = 0 0 + -8v = 48 + -16 -8v = 48 + -16 Combine like terms: 48 + -16 = 32 -8v = 32 Divide each side by '-8'. v = -4 Simplifying v = -4
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