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Simplifying -7v + 14v = 6(8 + -1v) + -6(-1v + -6) Combine like terms: -7v + 14v = 7v 7v = 6(8 + -1v) + -6(-1v + -6) 7v = (8 * 6 + -1v * 6) + -6(-1v + -6) 7v = (48 + -6v) + -6(-1v + -6) Reorder the terms: 7v = 48 + -6v + -6(-6 + -1v) 7v = 48 + -6v + (-6 * -6 + -1v * -6) 7v = 48 + -6v + (36 + 6v) Reorder the terms: 7v = 48 + 36 + -6v + 6v Combine like terms: 48 + 36 = 84 7v = 84 + -6v + 6v Combine like terms: -6v + 6v = 0 7v = 84 + 0 7v = 84 Solving 7v = 84 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Divide each side by '7'. v = 12 Simplifying v = 12
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