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Simplifying -6(2v + 7) + 6 = -8v + -36 Reorder the terms: -6(7 + 2v) + 6 = -8v + -36 (7 * -6 + 2v * -6) + 6 = -8v + -36 (-42 + -12v) + 6 = -8v + -36 Reorder the terms: -42 + 6 + -12v = -8v + -36 Combine like terms: -42 + 6 = -36 -36 + -12v = -8v + -36 Reorder the terms: -36 + -12v = -36 + -8v Add '36' to each side of the equation. -36 + 36 + -12v = -36 + 36 + -8v Combine like terms: -36 + 36 = 0 0 + -12v = -36 + 36 + -8v -12v = -36 + 36 + -8v Combine like terms: -36 + 36 = 0 -12v = 0 + -8v -12v = -8v Solving -12v = -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -12v + 8v = -8v + 8v Combine like terms: -12v + 8v = -4v -4v = -8v + 8v Combine like terms: -8v + 8v = 0 -4v = 0 Divide each side by '-4'. v = 0 Simplifying v = 0
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