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Simplifying 4w + 2x + -12y + 2w + 9x + 7y = 0 Reorder the terms: 4w + 2w + 2x + 9x + -12y + 7y = 0 Combine like terms: 4w + 2w = 6w 6w + 2x + 9x + -12y + 7y = 0 Combine like terms: 2x + 9x = 11x 6w + 11x + -12y + 7y = 0 Combine like terms: -12y + 7y = -5y 6w + 11x + -5y = 0 Solving 6w + 11x + -5y = 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 + -5y = 0 + -11x Combine like terms: 11x + -11x = 0 6w + 0 + -5y = 0 + -11x 6w + -5y = 0 + -11x Remove the zero: 6w + -5y = -11x Add '5y' to each side of the equation. 6w + -5y + 5y = -11x + 5y Combine like terms: -5y + 5y = 0 6w + 0 = -11x + 5y 6w = -11x + 5y Divide each side by '6'. w = -1.833333333x + 0.8333333333y Simplifying w = -1.833333333x + 0.8333333333y
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