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Simplifying 26 + -2v = 5(v + -6) + v Reorder the terms: 26 + -2v = 5(-6 + v) + v 26 + -2v = (-6 * 5 + v * 5) + v 26 + -2v = (-30 + 5v) + v Combine like terms: 5v + v = 6v 26 + -2v = -30 + 6v Solving 26 + -2v = -30 + 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 + -2v + -6v = -30 + 6v + -6v Combine like terms: -2v + -6v = -8v 26 + -8v = -30 + 6v + -6v Combine like terms: 6v + -6v = 0 26 + -8v = -30 + 0 26 + -8v = -30 Add '-26' to each side of the equation. 26 + -26 + -8v = -30 + -26 Combine like terms: 26 + -26 = 0 0 + -8v = -30 + -26 -8v = -30 + -26 Combine like terms: -30 + -26 = -56 -8v = -56 Divide each side by '-8'. v = 7 Simplifying v = 7
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