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Simplifying 8v + -28 = -6(v + -7) Reorder the terms: -28 + 8v = -6(v + -7) Reorder the terms: -28 + 8v = -6(-7 + v) -28 + 8v = (-7 * -6 + v * -6) -28 + 8v = (42 + -6v) Solving -28 + 8v = 42 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -28 + 8v + 6v = 42 + -6v + 6v Combine like terms: 8v + 6v = 14v -28 + 14v = 42 + -6v + 6v Combine like terms: -6v + 6v = 0 -28 + 14v = 42 + 0 -28 + 14v = 42 Add '28' to each side of the equation. -28 + 28 + 14v = 42 + 28 Combine like terms: -28 + 28 = 0 0 + 14v = 42 + 28 14v = 42 + 28 Combine like terms: 42 + 28 = 70 14v = 70 Divide each side by '14'. v = 5 Simplifying v = 5
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