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Simplifying 3(4v + 8) = -8v + -16 Reorder the terms: 3(8 + 4v) = -8v + -16 (8 * 3 + 4v * 3) = -8v + -16 (24 + 12v) = -8v + -16 Reorder the terms: 24 + 12v = -16 + -8v Solving 24 + 12v = -16 + -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. 24 + 12v + 8v = -16 + -8v + 8v Combine like terms: 12v + 8v = 20v 24 + 20v = -16 + -8v + 8v Combine like terms: -8v + 8v = 0 24 + 20v = -16 + 0 24 + 20v = -16 Add '-24' to each side of the equation. 24 + -24 + 20v = -16 + -24 Combine like terms: 24 + -24 = 0 0 + 20v = -16 + -24 20v = -16 + -24 Combine like terms: -16 + -24 = -40 20v = -40 Divide each side by '20'. v = -2 Simplifying v = -2
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