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Simplifying -7(2v + -4) = 7(8v + 4) Reorder the terms: -7(-4 + 2v) = 7(8v + 4) (-4 * -7 + 2v * -7) = 7(8v + 4) (28 + -14v) = 7(8v + 4) Reorder the terms: 28 + -14v = 7(4 + 8v) 28 + -14v = (4 * 7 + 8v * 7) 28 + -14v = (28 + 56v) Add '-28' to each side of the equation. 28 + -28 + -14v = 28 + -28 + 56v Combine like terms: 28 + -28 = 0 0 + -14v = 28 + -28 + 56v -14v = 28 + -28 + 56v Combine like terms: 28 + -28 = 0 -14v = 0 + 56v -14v = 56v Solving -14v = 56v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-56v' to each side of the equation. -14v + -56v = 56v + -56v Combine like terms: -14v + -56v = -70v -70v = 56v + -56v Combine like terms: 56v + -56v = 0 -70v = 0 Divide each side by '-70'. v = 0.0 Simplifying v = 0.0
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