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Simplifying 3w + 3y + 9x + 2x + -12y + 4w = 0 Reorder the terms: 3w + 4w + 9x + 2x + 3y + -12y = 0 Combine like terms: 3w + 4w = 7w 7w + 9x + 2x + 3y + -12y = 0 Combine like terms: 9x + 2x = 11x 7w + 11x + 3y + -12y = 0 Combine like terms: 3y + -12y = -9y 7w + 11x + -9y = 0 Solving 7w + 11x + -9y = 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 + -9y = 0 + -11x Combine like terms: 11x + -11x = 0 7w + 0 + -9y = 0 + -11x 7w + -9y = 0 + -11x Remove the zero: 7w + -9y = -11x Add '9y' to each side of the equation. 7w + -9y + 9y = -11x + 9y Combine like terms: -9y + 9y = 0 7w + 0 = -11x + 9y 7w = -11x + 9y Divide each side by '7'. w = -1.571428571x + 1.285714286y Simplifying w = -1.571428571x + 1.285714286y
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