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Simplifying 2w + 8x + 12y + 5w + 3x + -6y = 0 Reorder the terms: 2w + 5w + 8x + 3x + 12y + -6y = 0 Combine like terms: 2w + 5w = 7w 7w + 8x + 3x + 12y + -6y = 0 Combine like terms: 8x + 3x = 11x 7w + 11x + 12y + -6y = 0 Combine like terms: 12y + -6y = 6y 7w + 11x + 6y = 0 Solving 7w + 11x + 6y = 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. 7w + 11x + -11x + 6y = 0 + -11x Combine like terms: 11x + -11x = 0 7w + 0 + 6y = 0 + -11x 7w + 6y = 0 + -11x Remove the zero: 7w + 6y = -11x Add '-6y' to each side of the equation. 7w + 6y + -6y = -11x + -6y Combine like terms: 6y + -6y = 0 7w + 0 = -11x + -6y 7w = -11x + -6y Divide each side by '7'. w = -1.571428571x + -0.8571428571y Simplifying w = -1.571428571x + -0.8571428571y
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