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Simplifying -6(v + 7) = 8v + 28 Reorder the terms: -6(7 + v) = 8v + 28 (7 * -6 + v * -6) = 8v + 28 (-42 + -6v) = 8v + 28 Reorder the terms: -42 + -6v = 28 + 8v Solving -42 + -6v = 28 + 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. -42 + -6v + -8v = 28 + 8v + -8v Combine like terms: -6v + -8v = -14v -42 + -14v = 28 + 8v + -8v Combine like terms: 8v + -8v = 0 -42 + -14v = 28 + 0 -42 + -14v = 28 Add '42' to each side of the equation. -42 + 42 + -14v = 28 + 42 Combine like terms: -42 + 42 = 0 0 + -14v = 28 + 42 -14v = 28 + 42 Combine like terms: 28 + 42 = 70 -14v = 70 Divide each side by '-14'. v = -5 Simplifying v = -5
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