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Simplifying 2(v + 8) = 6v + -24 Reorder the terms: 2(8 + v) = 6v + -24 (8 * 2 + v * 2) = 6v + -24 (16 + 2v) = 6v + -24 Reorder the terms: 16 + 2v = -24 + 6v Solving 16 + 2v = -24 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 16 + 2v + -6v = -24 + 6v + -6v Combine like terms: 2v + -6v = -4v 16 + -4v = -24 + 6v + -6v Combine like terms: 6v + -6v = 0 16 + -4v = -24 + 0 16 + -4v = -24 Add '-16' to each side of the equation. 16 + -16 + -4v = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -4v = -24 + -16 -4v = -24 + -16 Combine like terms: -24 + -16 = -40 -4v = -40 Divide each side by '-4'. v = 10 Simplifying v = 10
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