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Simplifying 4w + 4x + 15y + 3w + 11x + 9y = 0 Reorder the terms: 4w + 3w + 4x + 11x + 15y + 9y = 0 Combine like terms: 4w + 3w = 7w 7w + 4x + 11x + 15y + 9y = 0 Combine like terms: 4x + 11x = 15x 7w + 15x + 15y + 9y = 0 Combine like terms: 15y + 9y = 24y 7w + 15x + 24y = 0 Solving 7w + 15x + 24y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15x' to each side of the equation. 7w + 15x + -15x + 24y = 0 + -15x Combine like terms: 15x + -15x = 0 7w + 0 + 24y = 0 + -15x 7w + 24y = 0 + -15x Remove the zero: 7w + 24y = -15x Add '-24y' to each side of the equation. 7w + 24y + -24y = -15x + -24y Combine like terms: 24y + -24y = 0 7w + 0 = -15x + -24y 7w = -15x + -24y Divide each side by '7'. w = -2.142857143x + -3.428571429y Simplifying w = -2.142857143x + -3.428571429y
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