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Simplifying 8v + -26 = 2(v + -7) Reorder the terms: -26 + 8v = 2(v + -7) Reorder the terms: -26 + 8v = 2(-7 + v) -26 + 8v = (-7 * 2 + v * 2) -26 + 8v = (-14 + 2v) Solving -26 + 8v = -14 + 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. -26 + 8v + -2v = -14 + 2v + -2v Combine like terms: 8v + -2v = 6v -26 + 6v = -14 + 2v + -2v Combine like terms: 2v + -2v = 0 -26 + 6v = -14 + 0 -26 + 6v = -14 Add '26' to each side of the equation. -26 + 26 + 6v = -14 + 26 Combine like terms: -26 + 26 = 0 0 + 6v = -14 + 26 6v = -14 + 26 Combine like terms: -14 + 26 = 12 6v = 12 Divide each side by '6'. v = 2 Simplifying v = 2
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