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Simplifying 8x + -3y + 9w + 2y + -2w + 3x = 0 Reorder the terms: 9w + -2w + 8x + 3x + -3y + 2y = 0 Combine like terms: 9w + -2w = 7w 7w + 8x + 3x + -3y + 2y = 0 Combine like terms: 8x + 3x = 11x 7w + 11x + -3y + 2y = 0 Combine like terms: -3y + 2y = -1y 7w + 11x + -1y = 0 Solving 7w + 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. 7w + 11x + -11x + -1y = 0 + -11x Combine like terms: 11x + -11x = 0 7w + 0 + -1y = 0 + -11x 7w + -1y = 0 + -11x Remove the zero: 7w + -1y = -11x Add 'y' to each side of the equation. 7w + -1y + y = -11x + y Combine like terms: -1y + y = 0 7w + 0 = -11x + y 7w = -11x + y Divide each side by '7'. w = -1.571428571x + 0.1428571429y Simplifying w = -1.571428571x + 0.1428571429y
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