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Simplifying 2w + 5x + -14y + 4w + 6x + 5y = 0 Reorder the terms: 2w + 4w + 5x + 6x + -14y + 5y = 0 Combine like terms: 2w + 4w = 6w 6w + 5x + 6x + -14y + 5y = 0 Combine like terms: 5x + 6x = 11x 6w + 11x + -14y + 5y = 0 Combine like terms: -14y + 5y = -9y 6w + 11x + -9y = 0 Solving 6w + 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. 6w + 11x + -11x + -9y = 0 + -11x Combine like terms: 11x + -11x = 0 6w + 0 + -9y = 0 + -11x 6w + -9y = 0 + -11x Remove the zero: 6w + -9y = -11x Add '9y' to each side of the equation. 6w + -9y + 9y = -11x + 9y Combine like terms: -9y + 9y = 0 6w + 0 = -11x + 9y 6w = -11x + 9y Divide each side by '6'. w = -1.833333333x + 1.5y Simplifying w = -1.833333333x + 1.5y
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