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Simplifying -6v + 26 = 5(v + -8) Reorder the terms: 26 + -6v = 5(v + -8) Reorder the terms: 26 + -6v = 5(-8 + v) 26 + -6v = (-8 * 5 + v * 5) 26 + -6v = (-40 + 5v) Solving 26 + -6v = -40 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 26 + -6v + -5v = -40 + 5v + -5v Combine like terms: -6v + -5v = -11v 26 + -11v = -40 + 5v + -5v Combine like terms: 5v + -5v = 0 26 + -11v = -40 + 0 26 + -11v = -40 Add '-26' to each side of the equation. 26 + -26 + -11v = -40 + -26 Combine like terms: 26 + -26 = 0 0 + -11v = -40 + -26 -11v = -40 + -26 Combine like terms: -40 + -26 = -66 -11v = -66 Divide each side by '-11'. v = 6 Simplifying v = 6
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