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Simplifying -6v + -8(1 + 2v) = 9 + -5v -6v + (1 * -8 + 2v * -8) = 9 + -5v -6v + (-8 + -16v) = 9 + -5v Reorder the terms: -8 + -6v + -16v = 9 + -5v Combine like terms: -6v + -16v = -22v -8 + -22v = 9 + -5v Solving -8 + -22v = 9 + -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. -8 + -22v + 5v = 9 + -5v + 5v Combine like terms: -22v + 5v = -17v -8 + -17v = 9 + -5v + 5v Combine like terms: -5v + 5v = 0 -8 + -17v = 9 + 0 -8 + -17v = 9 Add '8' to each side of the equation. -8 + 8 + -17v = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -17v = 9 + 8 -17v = 9 + 8 Combine like terms: 9 + 8 = 17 -17v = 17 Divide each side by '-17'. v = -1 Simplifying v = -1
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