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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 = 8v 16 + 8v = 24 + -6v + 6v Combine like terms: -6v + 6v = 0 16 + 8v = 24 + 0 16 + 8v = 24 Add '-16' to each side of the equation. 16 + -16 + 8v = 24 + -16 Combine like terms: 16 + -16 = 0 0 + 8v = 24 + -16 8v = 24 + -16 Combine like terms: 24 + -16 = 8 8v = 8 Divide each side by '8'. v = 1 Simplifying v = 1
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