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Simplifying 2w + 9x + -14y + 7w + 3x + 5y = 0 Reorder the terms: 2w + 7w + 9x + 3x + -14y + 5y = 0 Combine like terms: 2w + 7w = 9w 9w + 9x + 3x + -14y + 5y = 0 Combine like terms: 9x + 3x = 12x 9w + 12x + -14y + 5y = 0 Combine like terms: -14y + 5y = -9y 9w + 12x + -9y = 0 Solving 9w + 12x + -9y = 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. 9w + 12x + -12x + -9y = 0 + -12x Combine like terms: 12x + -12x = 0 9w + 0 + -9y = 0 + -12x 9w + -9y = 0 + -12x Remove the zero: 9w + -9y = -12x Add '9y' to each side of the equation. 9w + -9y + 9y = -12x + 9y Combine like terms: -9y + 9y = 0 9w + 0 = -12x + 9y 9w = -12x + 9y Divide each side by '9'. w = -1.333333333x + y Simplifying w = -1.333333333x + y
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