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Simplifying 8v + 26 = -6(v + -9) Reorder the terms: 26 + 8v = -6(v + -9) Reorder the terms: 26 + 8v = -6(-9 + v) 26 + 8v = (-9 * -6 + v * -6) 26 + 8v = (54 + -6v) Solving 26 + 8v = 54 + -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. 26 + 8v + 6v = 54 + -6v + 6v Combine like terms: 8v + 6v = 14v 26 + 14v = 54 + -6v + 6v Combine like terms: -6v + 6v = 0 26 + 14v = 54 + 0 26 + 14v = 54 Add '-26' to each side of the equation. 26 + -26 + 14v = 54 + -26 Combine like terms: 26 + -26 = 0 0 + 14v = 54 + -26 14v = 54 + -26 Combine like terms: 54 + -26 = 28 14v = 28 Divide each side by '14'. v = 2 Simplifying v = 2
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