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Simplifying -6(7v + -6) = -36 + -6v Reorder the terms: -6(-6 + 7v) = -36 + -6v (-6 * -6 + 7v * -6) = -36 + -6v (36 + -42v) = -36 + -6v Solving 36 + -42v = -36 + -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. 36 + -42v + 6v = -36 + -6v + 6v Combine like terms: -42v + 6v = -36v 36 + -36v = -36 + -6v + 6v Combine like terms: -6v + 6v = 0 36 + -36v = -36 + 0 36 + -36v = -36 Add '-36' to each side of the equation. 36 + -36 + -36v = -36 + -36 Combine like terms: 36 + -36 = 0 0 + -36v = -36 + -36 -36v = -36 + -36 Combine like terms: -36 + -36 = -72 -36v = -72 Divide each side by '-36'. v = 2 Simplifying v = 2
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