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Simplifying (2 + -5y + 4v)(-8) = 0 Reorder the terms: (2 + 4v + -5y)(-8) = 0 Reorder the terms for easier multiplication: -8(2 + 4v + -5y) = 0 (2 * -8 + 4v * -8 + -5y * -8) = 0 (-16 + -32v + 40y) = 0 Solving -16 + -32v + 40y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -32v + 16 + 40y = 0 + 16 Reorder the terms: -16 + 16 + -32v + 40y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -32v + 40y = 0 + 16 -32v + 40y = 0 + 16 Combine like terms: 0 + 16 = 16 -32v + 40y = 16 Add '-40y' to each side of the equation. -32v + 40y + -40y = 16 + -40y Combine like terms: 40y + -40y = 0 -32v + 0 = 16 + -40y -32v = 16 + -40y Divide each side by '-32'. v = -0.5 + 1.25y Simplifying v = -0.5 + 1.25y
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