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Simplifying 4x + -2y + 11w + 5y + -4w + 9x = 0 Reorder the terms: 11w + -4w + 4x + 9x + -2y + 5y = 0 Combine like terms: 11w + -4w = 7w 7w + 4x + 9x + -2y + 5y = 0 Combine like terms: 4x + 9x = 13x 7w + 13x + -2y + 5y = 0 Combine like terms: -2y + 5y = 3y 7w + 13x + 3y = 0 Solving 7w + 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. 7w + 13x + -13x + 3y = 0 + -13x Combine like terms: 13x + -13x = 0 7w + 0 + 3y = 0 + -13x 7w + 3y = 0 + -13x Remove the zero: 7w + 3y = -13x Add '-3y' to each side of the equation. 7w + 3y + -3y = -13x + -3y Combine like terms: 3y + -3y = 0 7w + 0 = -13x + -3y 7w = -13x + -3y Divide each side by '7'. w = -1.857142857x + -0.4285714286y Simplifying w = -1.857142857x + -0.4285714286y
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