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Simplifying 8x + -9w + 4x + 9y + 3y + 5w = 0 Reorder the terms: -9w + 5w + 8x + 4x + 9y + 3y = 0 Combine like terms: -9w + 5w = -4w -4w + 8x + 4x + 9y + 3y = 0 Combine like terms: 8x + 4x = 12x -4w + 12x + 9y + 3y = 0 Combine like terms: 9y + 3y = 12y -4w + 12x + 12y = 0 Solving -4w + 12x + 12y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12x' to each side of the equation. -4w + 12x + -12x + 12y = 0 + -12x Combine like terms: 12x + -12x = 0 -4w + 0 + 12y = 0 + -12x -4w + 12y = 0 + -12x Remove the zero: -4w + 12y = -12x Add '-12y' to each side of the equation. -4w + 12y + -12y = -12x + -12y Combine like terms: 12y + -12y = 0 -4w + 0 = -12x + -12y -4w = -12x + -12y Divide each side by '-4'. w = 3x + 3y Simplifying w = 3x + 3y
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