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Simplifying -6(1 + 2v) = -7v + 14 (1 * -6 + 2v * -6) = -7v + 14 (-6 + -12v) = -7v + 14 Reorder the terms: -6 + -12v = 14 + -7v Solving -6 + -12v = 14 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -6 + -12v + 7v = 14 + -7v + 7v Combine like terms: -12v + 7v = -5v -6 + -5v = 14 + -7v + 7v Combine like terms: -7v + 7v = 0 -6 + -5v = 14 + 0 -6 + -5v = 14 Add '6' to each side of the equation. -6 + 6 + -5v = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -5v = 14 + 6 -5v = 14 + 6 Combine like terms: 14 + 6 = 20 -5v = 20 Divide each side by '-5'. v = -4 Simplifying v = -4
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