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Simplifying 4w + 3x + y + 2z = 9 Solving 4w + 3x + y + 2z = 9 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3x' to each side of the equation. 4w + 3x + y + -3x + 2z = 9 + -3x Reorder the terms: 4w + 3x + -3x + y + 2z = 9 + -3x Combine like terms: 3x + -3x = 0 4w + 0 + y + 2z = 9 + -3x 4w + y + 2z = 9 + -3x Add '-1y' to each side of the equation. 4w + y + -1y + 2z = 9 + -3x + -1y Combine like terms: y + -1y = 0 4w + 0 + 2z = 9 + -3x + -1y 4w + 2z = 9 + -3x + -1y Add '-2z' to each side of the equation. 4w + 2z + -2z = 9 + -3x + -1y + -2z Combine like terms: 2z + -2z = 0 4w + 0 = 9 + -3x + -1y + -2z 4w = 9 + -3x + -1y + -2z Divide each side by '4'. w = 2.25 + -0.75x + -0.25y + -0.5z Simplifying w = 2.25 + -0.75x + -0.25y + -0.5z
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