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