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Simplifying 8(7 + -2v) = -28 + -2v (7 * 8 + -2v * 8) = -28 + -2v (56 + -16v) = -28 + -2v Solving 56 + -16v = -28 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 56 + -16v + 2v = -28 + -2v + 2v Combine like terms: -16v + 2v = -14v 56 + -14v = -28 + -2v + 2v Combine like terms: -2v + 2v = 0 56 + -14v = -28 + 0 56 + -14v = -28 Add '-56' to each side of the equation. 56 + -56 + -14v = -28 + -56 Combine like terms: 56 + -56 = 0 0 + -14v = -28 + -56 -14v = -28 + -56 Combine like terms: -28 + -56 = -84 -14v = -84 Divide each side by '-14'. v = 6 Simplifying v = 6
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