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Simplifying -6v + 24 = 5v + 2(8 + -6v) Reorder the terms: 24 + -6v = 5v + 2(8 + -6v) 24 + -6v = 5v + (8 * 2 + -6v * 2) 24 + -6v = 5v + (16 + -12v) Reorder the terms: 24 + -6v = 16 + 5v + -12v Combine like terms: 5v + -12v = -7v 24 + -6v = 16 + -7v Solving 24 + -6v = 16 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 24 + -6v + 7v = 16 + -7v + 7v Combine like terms: -6v + 7v = 1v 24 + 1v = 16 + -7v + 7v Combine like terms: -7v + 7v = 0 24 + 1v = 16 + 0 24 + 1v = 16 Add '-24' to each side of the equation. 24 + -24 + 1v = 16 + -24 Combine like terms: 24 + -24 = 0 0 + 1v = 16 + -24 1v = 16 + -24 Combine like terms: 16 + -24 = -8 1v = -8 Divide each side by '1'. v = -8 Simplifying v = -8
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