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Simplifying 5v + 4w + -7x + y + -1z = 8 Solving 5v + 4w + -7x + y + -1z = 8 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4w' to each side of the equation. 5v + 4w + -7x + y + -4w + -1z = 8 + -4w Reorder the terms: 5v + 4w + -4w + -7x + y + -1z = 8 + -4w Combine like terms: 4w + -4w = 0 5v + 0 + -7x + y + -1z = 8 + -4w 5v + -7x + y + -1z = 8 + -4w Add '7x' to each side of the equation. 5v + -7x + y + 7x + -1z = 8 + -4w + 7x Reorder the terms: 5v + -7x + 7x + y + -1z = 8 + -4w + 7x Combine like terms: -7x + 7x = 0 5v + 0 + y + -1z = 8 + -4w + 7x 5v + y + -1z = 8 + -4w + 7x Add '-1y' to each side of the equation. 5v + y + -1y + -1z = 8 + -4w + 7x + -1y Combine like terms: y + -1y = 0 5v + 0 + -1z = 8 + -4w + 7x + -1y 5v + -1z = 8 + -4w + 7x + -1y Add 'z' to each side of the equation. 5v + -1z + z = 8 + -4w + 7x + -1y + z Combine like terms: -1z + z = 0 5v + 0 = 8 + -4w + 7x + -1y + z 5v = 8 + -4w + 7x + -1y + z Divide each side by '5'. v = 1.6 + -0.8w + 1.4x + -0.2y + 0.2z Simplifying v = 1.6 + -0.8w + 1.4x + -0.2y + 0.2z
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