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Simplifying 8x + -3y + 2z + -4w = -24 Reorder the terms: -4w + 8x + -3y + 2z = -24 Solving -4w + 8x + -3y + 2z = -24 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 + -3y + -8x + 2z = -24 + -8x Reorder the terms: -4w + 8x + -8x + -3y + 2z = -24 + -8x Combine like terms: 8x + -8x = 0 -4w + 0 + -3y + 2z = -24 + -8x -4w + -3y + 2z = -24 + -8x Add '3y' to each side of the equation. -4w + -3y + 3y + 2z = -24 + -8x + 3y Combine like terms: -3y + 3y = 0 -4w + 0 + 2z = -24 + -8x + 3y -4w + 2z = -24 + -8x + 3y Add '-2z' to each side of the equation. -4w + 2z + -2z = -24 + -8x + 3y + -2z Combine like terms: 2z + -2z = 0 -4w + 0 = -24 + -8x + 3y + -2z -4w = -24 + -8x + 3y + -2z Divide each side by '-4'. w = 6 + 2x + -0.75y + 0.5z Simplifying w = 6 + 2x + -0.75y + 0.5z
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