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Simplifying 8x + -3y + 9w + -6y + -3w + 3x = 0 Reorder the terms: 9w + -3w + 8x + 3x + -3y + -6y = 0 Combine like terms: 9w + -3w = 6w 6w + 8x + 3x + -3y + -6y = 0 Combine like terms: 8x + 3x = 11x 6w + 11x + -3y + -6y = 0 Combine like terms: -3y + -6y = -9y 6w + 11x + -9y = 0 Solving 6w + 11x + -9y = 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. 6w + 11x + -11x + -9y = 0 + -11x Combine like terms: 11x + -11x = 0 6w + 0 + -9y = 0 + -11x 6w + -9y = 0 + -11x Remove the zero: 6w + -9y = -11x Add '9y' to each side of the equation. 6w + -9y + 9y = -11x + 9y Combine like terms: -9y + 9y = 0 6w + 0 = -11x + 9y 6w = -11x + 9y Divide each side by '6'. w = -1.833333333x + 1.5y Simplifying w = -1.833333333x + 1.5y
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