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Simplifying 4x + -2y + 14w + 3y + -5w + 7x = 0 Reorder the terms: 14w + -5w + 4x + 7x + -2y + 3y = 0 Combine like terms: 14w + -5w = 9w 9w + 4x + 7x + -2y + 3y = 0 Combine like terms: 4x + 7x = 11x 9w + 11x + -2y + 3y = 0 Combine like terms: -2y + 3y = 1y 9w + 11x + 1y = 0 Solving 9w + 11x + 1y = 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 + 1y = 0 + -11x Combine like terms: 11x + -11x = 0 9w + 0 + 1y = 0 + -11x 9w + 1y = 0 + -11x Remove the zero: 9w + 1y = -11x Add '-1y' to each side of the equation. 9w + 1y + -1y = -11x + -1y Combine like terms: 1y + -1y = 0 9w + 0 = -11x + -1y 9w = -11x + -1y Divide each side by '9'. w = -1.222222222x + -0.1111111111y Simplifying w = -1.222222222x + -0.1111111111y
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