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Simplifying 8v + 48 = -4(v + 6) Reorder the terms: 48 + 8v = -4(v + 6) Reorder the terms: 48 + 8v = -4(6 + v) 48 + 8v = (6 * -4 + v * -4) 48 + 8v = (-24 + -4v) Solving 48 + 8v = -24 + -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. 48 + 8v + 4v = -24 + -4v + 4v Combine like terms: 8v + 4v = 12v 48 + 12v = -24 + -4v + 4v Combine like terms: -4v + 4v = 0 48 + 12v = -24 + 0 48 + 12v = -24 Add '-48' to each side of the equation. 48 + -48 + 12v = -24 + -48 Combine like terms: 48 + -48 = 0 0 + 12v = -24 + -48 12v = -24 + -48 Combine like terms: -24 + -48 = -72 12v = -72 Divide each side by '12'. v = -6 Simplifying v = -6
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