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Simplifying 2y + 4x + -12y + 4w + 8x + 5y = 0 Reorder the terms: 4w + 4x + 8x + 2y + -12y + 5y = 0 Combine like terms: 4x + 8x = 12x 4w + 12x + 2y + -12y + 5y = 0 Combine like terms: 2y + -12y = -10y 4w + 12x + -10y + 5y = 0 Combine like terms: -10y + 5y = -5y 4w + 12x + -5y = 0 Solving 4w + 12x + -5y = 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 + -5y = 0 + -12x Combine like terms: 12x + -12x = 0 4w + 0 + -5y = 0 + -12x 4w + -5y = 0 + -12x Remove the zero: 4w + -5y = -12x Add '5y' to each side of the equation. 4w + -5y + 5y = -12x + 5y Combine like terms: -5y + 5y = 0 4w + 0 = -12x + 5y 4w = -12x + 5y Divide each side by '4'. w = -3x + 1.25y Simplifying w = -3x + 1.25y
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