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Simplifying 3w + 4x + -14y + 4w + 7x + 8y = 0 Reorder the terms: 3w + 4w + 4x + 7x + -14y + 8y = 0 Combine like terms: 3w + 4w = 7w 7w + 4x + 7x + -14y + 8y = 0 Combine like terms: 4x + 7x = 11x 7w + 11x + -14y + 8y = 0 Combine like terms: -14y + 8y = -6y 7w + 11x + -6y = 0 Solving 7w + 11x + -6y = 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. 7w + 11x + -11x + -6y = 0 + -11x Combine like terms: 11x + -11x = 0 7w + 0 + -6y = 0 + -11x 7w + -6y = 0 + -11x Remove the zero: 7w + -6y = -11x Add '6y' to each side of the equation. 7w + -6y + 6y = -11x + 6y Combine like terms: -6y + 6y = 0 7w + 0 = -11x + 6y 7w = -11x + 6y Divide each side by '7'. w = -1.571428571x + 0.8571428571y Simplifying w = -1.571428571x + 0.8571428571y
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