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Simplifying (4 + -5y + 2v)(-2) = 0 Reorder the terms: (4 + 2v + -5y)(-2) = 0 Reorder the terms for easier multiplication: -2(4 + 2v + -5y) = 0 (4 * -2 + 2v * -2 + -5y * -2) = 0 (-8 + -4v + 10y) = 0 Solving -8 + -4v + 10y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -4v + 8 + 10y = 0 + 8 Reorder the terms: -8 + 8 + -4v + 10y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -4v + 10y = 0 + 8 -4v + 10y = 0 + 8 Combine like terms: 0 + 8 = 8 -4v + 10y = 8 Add '-10y' to each side of the equation. -4v + 10y + -10y = 8 + -10y Combine like terms: 10y + -10y = 0 -4v + 0 = 8 + -10y -4v = 8 + -10y Divide each side by '-4'. v = -2 + 2.5y Simplifying v = -2 + 2.5y
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