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Simplifying 8x + -5y + -1z + 4w = -9 Reorder the terms: 4w + 8x + -5y + -1z = -9 Solving 4w + 8x + -5y + -1z = -9 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8x' to each side of the equation. 4w + 8x + -5y + -8x + -1z = -9 + -8x Reorder the terms: 4w + 8x + -8x + -5y + -1z = -9 + -8x Combine like terms: 8x + -8x = 0 4w + 0 + -5y + -1z = -9 + -8x 4w + -5y + -1z = -9 + -8x Add '5y' to each side of the equation. 4w + -5y + 5y + -1z = -9 + -8x + 5y Combine like terms: -5y + 5y = 0 4w + 0 + -1z = -9 + -8x + 5y 4w + -1z = -9 + -8x + 5y Add 'z' to each side of the equation. 4w + -1z + z = -9 + -8x + 5y + z Combine like terms: -1z + z = 0 4w + 0 = -9 + -8x + 5y + z 4w = -9 + -8x + 5y + z Divide each side by '4'. w = -2.25 + -2x + 1.25y + 0.25z Simplifying w = -2.25 + -2x + 1.25y + 0.25z
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