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