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Simplifying 3w + 9x + -12y + 4w + 3x + 6y = 0 Reorder the terms: 3w + 4w + 9x + 3x + -12y + 6y = 0 Combine like terms: 3w + 4w = 7w 7w + 9x + 3x + -12y + 6y = 0 Combine like terms: 9x + 3x = 12x 7w + 12x + -12y + 6y = 0 Combine like terms: -12y + 6y = -6y 7w + 12x + -6y = 0 Solving 7w + 12x + -6y = 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 + -6y = 0 + -12x Combine like terms: 12x + -12x = 0 7w + 0 + -6y = 0 + -12x 7w + -6y = 0 + -12x Remove the zero: 7w + -6y = -12x Add '6y' to each side of the equation. 7w + -6y + 6y = -12x + 6y Combine like terms: -6y + 6y = 0 7w + 0 = -12x + 6y 7w = -12x + 6y Divide each side by '7'. w = -1.714285714x + 0.8571428571y Simplifying w = -1.714285714x + 0.8571428571y
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