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Simplifying -68 = -2(7v + 6) + -2(4 + -4v) Reorder the terms: -68 = -2(6 + 7v) + -2(4 + -4v) -68 = (6 * -2 + 7v * -2) + -2(4 + -4v) -68 = (-12 + -14v) + -2(4 + -4v) -68 = -12 + -14v + (4 * -2 + -4v * -2) -68 = -12 + -14v + (-8 + 8v) Reorder the terms: -68 = -12 + -8 + -14v + 8v Combine like terms: -12 + -8 = -20 -68 = -20 + -14v + 8v Combine like terms: -14v + 8v = -6v -68 = -20 + -6v Solving -68 = -20 + -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. -68 + 6v = -20 + -6v + 6v Combine like terms: -6v + 6v = 0 -68 + 6v = -20 + 0 -68 + 6v = -20 Add '68' to each side of the equation. -68 + 68 + 6v = -20 + 68 Combine like terms: -68 + 68 = 0 0 + 6v = -20 + 68 6v = -20 + 68 Combine like terms: -20 + 68 = 48 6v = 48 Divide each side by '6'. v = 8 Simplifying v = 8
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