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Simplifying 4w + 2x + -12y + 5w + 9x + 3y = 0 Reorder the terms: 4w + 5w + 2x + 9x + -12y + 3y = 0 Combine like terms: 4w + 5w = 9w 9w + 2x + 9x + -12y + 3y = 0 Combine like terms: 2x + 9x = 11x 9w + 11x + -12y + 3y = 0 Combine like terms: -12y + 3y = -9y 9w + 11x + -9y = 0 Solving 9w + 11x + -9y = 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. 9w + 11x + -11x + -9y = 0 + -11x Combine like terms: 11x + -11x = 0 9w + 0 + -9y = 0 + -11x 9w + -9y = 0 + -11x Remove the zero: 9w + -9y = -11x Add '9y' to each side of the equation. 9w + -9y + 9y = -11x + 9y Combine like terms: -9y + 9y = 0 9w + 0 = -11x + 9y 9w = -11x + 9y Divide each side by '9'. w = -1.222222222x + y Simplifying w = -1.222222222x + y
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