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Simplifying 4w + 9x + 11y + 3w + 3x + -6y = 0 Reorder the terms: 4w + 3w + 9x + 3x + 11y + -6y = 0 Combine like terms: 4w + 3w = 7w 7w + 9x + 3x + 11y + -6y = 0 Combine like terms: 9x + 3x = 12x 7w + 12x + 11y + -6y = 0 Combine like terms: 11y + -6y = 5y 7w + 12x + 5y = 0 Solving 7w + 12x + 5y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12x' to each side of the equation. 7w + 12x + -12x + 5y = 0 + -12x Combine like terms: 12x + -12x = 0 7w + 0 + 5y = 0 + -12x 7w + 5y = 0 + -12x Remove the zero: 7w + 5y = -12x Add '-5y' to each side of the equation. 7w + 5y + -5y = -12x + -5y Combine like terms: 5y + -5y = 0 7w + 0 = -12x + -5y 7w = -12x + -5y Divide each side by '7'. w = -1.714285714x + -0.7142857143y Simplifying w = -1.714285714x + -0.7142857143y
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