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Simplifying (-4 + y + 2v)(-7) = 0 Reorder the terms: (-4 + 2v + y)(-7) = 0 Reorder the terms for easier multiplication: -7(-4 + 2v + y) = 0 (-4 * -7 + 2v * -7 + y * -7) = 0 (28 + -14v + -7y) = 0 Solving 28 + -14v + -7y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -14v + -28 + -7y = 0 + -28 Reorder the terms: 28 + -28 + -14v + -7y = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -14v + -7y = 0 + -28 -14v + -7y = 0 + -28 Combine like terms: 0 + -28 = -28 -14v + -7y = -28 Add '7y' to each side of the equation. -14v + -7y + 7y = -28 + 7y Combine like terms: -7y + 7y = 0 -14v + 0 = -28 + 7y -14v = -28 + 7y Divide each side by '-14'. v = 2 + -0.5y Simplifying v = 2 + -0.5y
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