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Simplifying 7(4 + 2v) = 5v + -8 (4 * 7 + 2v * 7) = 5v + -8 (28 + 14v) = 5v + -8 Reorder the terms: 28 + 14v = -8 + 5v Solving 28 + 14v = -8 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 28 + 14v + -5v = -8 + 5v + -5v Combine like terms: 14v + -5v = 9v 28 + 9v = -8 + 5v + -5v Combine like terms: 5v + -5v = 0 28 + 9v = -8 + 0 28 + 9v = -8 Add '-28' to each side of the equation. 28 + -28 + 9v = -8 + -28 Combine like terms: 28 + -28 = 0 0 + 9v = -8 + -28 9v = -8 + -28 Combine like terms: -8 + -28 = -36 9v = -36 Divide each side by '9'. v = -4 Simplifying v = -4
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