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Simplifying 2x + y + 2z + -4w = 10 Reorder the terms: -4w + 2x + y + 2z = 10 Solving -4w + 2x + y + 2z = 10 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2x' to each side of the equation. -4w + 2x + y + -2x + 2z = 10 + -2x Reorder the terms: -4w + 2x + -2x + y + 2z = 10 + -2x Combine like terms: 2x + -2x = 0 -4w + 0 + y + 2z = 10 + -2x -4w + y + 2z = 10 + -2x Add '-1y' to each side of the equation. -4w + y + -1y + 2z = 10 + -2x + -1y Combine like terms: y + -1y = 0 -4w + 0 + 2z = 10 + -2x + -1y -4w + 2z = 10 + -2x + -1y Add '-2z' to each side of the equation. -4w + 2z + -2z = 10 + -2x + -1y + -2z Combine like terms: 2z + -2z = 0 -4w + 0 = 10 + -2x + -1y + -2z -4w = 10 + -2x + -1y + -2z Divide each side by '-4'. w = -2.5 + 0.5x + 0.25y + 0.5z Simplifying w = -2.5 + 0.5x + 0.25y + 0.5z
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