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Simplifying 4w + 5x + 12y + 3w + 9x + -6y = 0 Reorder the terms: 4w + 3w + 5x + 9x + 12y + -6y = 0 Combine like terms: 4w + 3w = 7w 7w + 5x + 9x + 12y + -6y = 0 Combine like terms: 5x + 9x = 14x 7w + 14x + 12y + -6y = 0 Combine like terms: 12y + -6y = 6y 7w + 14x + 6y = 0 Solving 7w + 14x + 6y = 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. 7w + 14x + -14x + 6y = 0 + -14x Combine like terms: 14x + -14x = 0 7w + 0 + 6y = 0 + -14x 7w + 6y = 0 + -14x Remove the zero: 7w + 6y = -14x Add '-6y' to each side of the equation. 7w + 6y + -6y = -14x + -6y Combine like terms: 6y + -6y = 0 7w + 0 = -14x + -6y 7w = -14x + -6y Divide each side by '7'. w = -2x + -0.8571428571y Simplifying w = -2x + -0.8571428571y
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