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Simplifying 6x + -9y + 5x + 9y + 3y + 5w = 0 Reorder the terms: 5w + 6x + 5x + -9y + 9y + 3y = 0 Combine like terms: 6x + 5x = 11x 5w + 11x + -9y + 9y + 3y = 0 Combine like terms: -9y + 9y = 0 5w + 11x + 0 + 3y = 0 5w + 11x + 3y = 0 Solving 5w + 11x + 3y = 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. 5w + 11x + -11x + 3y = 0 + -11x Combine like terms: 11x + -11x = 0 5w + 0 + 3y = 0 + -11x 5w + 3y = 0 + -11x Remove the zero: 5w + 3y = -11x Add '-3y' to each side of the equation. 5w + 3y + -3y = -11x + -3y Combine like terms: 3y + -3y = 0 5w + 0 = -11x + -3y 5w = -11x + -3y Divide each side by '5'. w = -2.2x + -0.6y Simplifying w = -2.2x + -0.6y
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