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Simplifying 5w + 7y + 7x + 4x + -12y + 4w = 0 Reorder the terms: 5w + 4w + 7x + 4x + 7y + -12y = 0 Combine like terms: 5w + 4w = 9w 9w + 7x + 4x + 7y + -12y = 0 Combine like terms: 7x + 4x = 11x 9w + 11x + 7y + -12y = 0 Combine like terms: 7y + -12y = -5y 9w + 11x + -5y = 0 Solving 9w + 11x + -5y = 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 + -5y = 0 + -11x Combine like terms: 11x + -11x = 0 9w + 0 + -5y = 0 + -11x 9w + -5y = 0 + -11x Remove the zero: 9w + -5y = -11x Add '5y' to each side of the equation. 9w + -5y + 5y = -11x + 5y Combine like terms: -5y + 5y = 0 9w + 0 = -11x + 5y 9w = -11x + 5y Divide each side by '9'. w = -1.222222222x + 0.5555555556y Simplifying w = -1.222222222x + 0.5555555556y
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