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Simplifying 15 = 5(v + -8) + 6v Reorder the terms: 15 = 5(-8 + v) + 6v 15 = (-8 * 5 + v * 5) + 6v 15 = (-40 + 5v) + 6v Combine like terms: 5v + 6v = 11v 15 = -40 + 11v Solving 15 = -40 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. 15 + -11v = -40 + 11v + -11v Combine like terms: 11v + -11v = 0 15 + -11v = -40 + 0 15 + -11v = -40 Add '-15' to each side of the equation. 15 + -15 + -11v = -40 + -15 Combine like terms: 15 + -15 = 0 0 + -11v = -40 + -15 -11v = -40 + -15 Combine like terms: -40 + -15 = -55 -11v = -55 Divide each side by '-11'. v = 5 Simplifying v = 5
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