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Simplifying 6v + -15 = -5(v + -8) Reorder the terms: -15 + 6v = -5(v + -8) Reorder the terms: -15 + 6v = -5(-8 + v) -15 + 6v = (-8 * -5 + v * -5) -15 + 6v = (40 + -5v) Solving -15 + 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. -15 + 6v + 5v = 40 + -5v + 5v Combine like terms: 6v + 5v = 11v -15 + 11v = 40 + -5v + 5v Combine like terms: -5v + 5v = 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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