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Simplifying 15 + 6v = -2(3v + 8) Reorder the terms: 15 + 6v = -2(8 + 3v) 15 + 6v = (8 * -2 + 3v * -2) 15 + 6v = (-16 + -6v) Solving 15 + 6v = -16 + -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. 15 + 6v + 6v = -16 + -6v + 6v Combine like terms: 6v + 6v = 12v 15 + 12v = -16 + -6v + 6v Combine like terms: -6v + 6v = 0 15 + 12v = -16 + 0 15 + 12v = -16 Add '-15' to each side of the equation. 15 + -15 + 12v = -16 + -15 Combine like terms: 15 + -15 = 0 0 + 12v = -16 + -15 12v = -16 + -15 Combine like terms: -16 + -15 = -31 12v = -31 Divide each side by '12'. v = -2.583333333 Simplifying v = -2.583333333
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