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Simplifying 4w + 5x + -12y + 2w + 9x + 7y = 0 Reorder the terms: 4w + 2w + 5x + 9x + -12y + 7y = 0 Combine like terms: 4w + 2w = 6w 6w + 5x + 9x + -12y + 7y = 0 Combine like terms: 5x + 9x = 14x 6w + 14x + -12y + 7y = 0 Combine like terms: -12y + 7y = -5y 6w + 14x + -5y = 0 Solving 6w + 14x + -5y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14x' to each side of the equation. 6w + 14x + -14x + -5y = 0 + -14x Combine like terms: 14x + -14x = 0 6w + 0 + -5y = 0 + -14x 6w + -5y = 0 + -14x Remove the zero: 6w + -5y = -14x Add '5y' to each side of the equation. 6w + -5y + 5y = -14x + 5y Combine like terms: -5y + 5y = 0 6w + 0 = -14x + 5y 6w = -14x + 5y Divide each side by '6'. w = -2.333333333x + 0.8333333333y Simplifying w = -2.333333333x + 0.8333333333y
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