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Simplifying 3x + -2y + 9w + 4y + -3w + 9x = 0 Reorder the terms: 9w + -3w + 3x + 9x + -2y + 4y = 0 Combine like terms: 9w + -3w = 6w 6w + 3x + 9x + -2y + 4y = 0 Combine like terms: 3x + 9x = 12x 6w + 12x + -2y + 4y = 0 Combine like terms: -2y + 4y = 2y 6w + 12x + 2y = 0 Solving 6w + 12x + 2y = 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. 6w + 12x + -12x + 2y = 0 + -12x Combine like terms: 12x + -12x = 0 6w + 0 + 2y = 0 + -12x 6w + 2y = 0 + -12x Remove the zero: 6w + 2y = -12x Add '-2y' to each side of the equation. 6w + 2y + -2y = -12x + -2y Combine like terms: 2y + -2y = 0 6w + 0 = -12x + -2y 6w = -12x + -2y Divide each side by '6'. w = -2x + -0.3333333333y Simplifying w = -2x + -0.3333333333y
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