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Simplifying -8(1 + 2v) + 6v = 16 + 2v (1 * -8 + 2v * -8) + 6v = 16 + 2v (-8 + -16v) + 6v = 16 + 2v Combine like terms: -16v + 6v = -10v -8 + -10v = 16 + 2v Solving -8 + -10v = 16 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -8 + -10v + -2v = 16 + 2v + -2v Combine like terms: -10v + -2v = -12v -8 + -12v = 16 + 2v + -2v Combine like terms: 2v + -2v = 0 -8 + -12v = 16 + 0 -8 + -12v = 16 Add '8' to each side of the equation. -8 + 8 + -12v = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -12v = 16 + 8 -12v = 16 + 8 Combine like terms: 16 + 8 = 24 -12v = 24 Divide each side by '-12'. v = -2 Simplifying v = -2
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