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Simplifying 11x + -2y + 13w + 5y + -5w + 2x = 0 Reorder the terms: 13w + -5w + 11x + 2x + -2y + 5y = 0 Combine like terms: 13w + -5w = 8w 8w + 11x + 2x + -2y + 5y = 0 Combine like terms: 11x + 2x = 13x 8w + 13x + -2y + 5y = 0 Combine like terms: -2y + 5y = 3y 8w + 13x + 3y = 0 Solving 8w + 13x + 3y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13x' to each side of the equation. 8w + 13x + -13x + 3y = 0 + -13x Combine like terms: 13x + -13x = 0 8w + 0 + 3y = 0 + -13x 8w + 3y = 0 + -13x Remove the zero: 8w + 3y = -13x Add '-3y' to each side of the equation. 8w + 3y + -3y = -13x + -3y Combine like terms: 3y + -3y = 0 8w + 0 = -13x + -3y 8w = -13x + -3y Divide each side by '8'. w = -1.625x + -0.375y Simplifying w = -1.625x + -0.375y
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