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Simplifying 4w + 4x + -14y + 4w + 7x + 9y = 0 Reorder the terms: 4w + 4w + 4x + 7x + -14y + 9y = 0 Combine like terms: 4w + 4w = 8w 8w + 4x + 7x + -14y + 9y = 0 Combine like terms: 4x + 7x = 11x 8w + 11x + -14y + 9y = 0 Combine like terms: -14y + 9y = -5y 8w + 11x + -5y = 0 Solving 8w + 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. 8w + 11x + -11x + -5y = 0 + -11x Combine like terms: 11x + -11x = 0 8w + 0 + -5y = 0 + -11x 8w + -5y = 0 + -11x Remove the zero: 8w + -5y = -11x Add '5y' to each side of the equation. 8w + -5y + 5y = -11x + 5y Combine like terms: -5y + 5y = 0 8w + 0 = -11x + 5y 8w = -11x + 5y Divide each side by '8'. w = -1.375x + 0.625y Simplifying w = -1.375x + 0.625y
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