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Simplifying 7x + 8w + 4x + 9y + 3y + 4w = 0 Reorder the terms: 8w + 4w + 7x + 4x + 9y + 3y = 0 Combine like terms: 8w + 4w = 12w 12w + 7x + 4x + 9y + 3y = 0 Combine like terms: 7x + 4x = 11x 12w + 11x + 9y + 3y = 0 Combine like terms: 9y + 3y = 12y 12w + 11x + 12y = 0 Solving 12w + 11x + 12y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11x' to each side of the equation. 12w + 11x + -11x + 12y = 0 + -11x Combine like terms: 11x + -11x = 0 12w + 0 + 12y = 0 + -11x 12w + 12y = 0 + -11x Remove the zero: 12w + 12y = -11x Add '-12y' to each side of the equation. 12w + 12y + -12y = -11x + -12y Combine like terms: 12y + -12y = 0 12w + 0 = -11x + -12y 12w = -11x + -12y Divide each side by '12'. w = -0.9166666667x + -1y Simplifying w = -0.9166666667x + -1y
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