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Simplifying 5w + 7y + 9x + 4x + -12y + 4w = 0 Reorder the terms: 5w + 4w + 9x + 4x + 7y + -12y = 0 Combine like terms: 5w + 4w = 9w 9w + 9x + 4x + 7y + -12y = 0 Combine like terms: 9x + 4x = 13x 9w + 13x + 7y + -12y = 0 Combine like terms: 7y + -12y = -5y 9w + 13x + -5y = 0 Solving 9w + 13x + -5y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13x' to each side of the equation. 9w + 13x + -13x + -5y = 0 + -13x Combine like terms: 13x + -13x = 0 9w + 0 + -5y = 0 + -13x 9w + -5y = 0 + -13x Remove the zero: 9w + -5y = -13x Add '5y' to each side of the equation. 9w + -5y + 5y = -13x + 5y Combine like terms: -5y + 5y = 0 9w + 0 = -13x + 5y 9w = -13x + 5y Divide each side by '9'. w = -1.444444444x + 0.5555555556y Simplifying w = -1.444444444x + 0.5555555556y
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