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Simplifying 9x + -2y + 13w + -6y + -6w + 2x = 0 Reorder the terms: 13w + -6w + 9x + 2x + -2y + -6y = 0 Combine like terms: 13w + -6w = 7w 7w + 9x + 2x + -2y + -6y = 0 Combine like terms: 9x + 2x = 11x 7w + 11x + -2y + -6y = 0 Combine like terms: -2y + -6y = -8y 7w + 11x + -8y = 0 Solving 7w + 11x + -8y = 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 + -8y = 0 + -11x Combine like terms: 11x + -11x = 0 7w + 0 + -8y = 0 + -11x 7w + -8y = 0 + -11x Remove the zero: 7w + -8y = -11x Add '8y' to each side of the equation. 7w + -8y + 8y = -11x + 8y Combine like terms: -8y + 8y = 0 7w + 0 = -11x + 8y 7w = -11x + 8y Divide each side by '7'. w = -1.571428571x + 1.142857143y Simplifying w = -1.571428571x + 1.142857143y
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