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Simplifying 10x + -3y + 14w + -2y + -5w + 2x = 0 Reorder the terms: 14w + -5w + 10x + 2x + -3y + -2y = 0 Combine like terms: 14w + -5w = 9w 9w + 10x + 2x + -3y + -2y = 0 Combine like terms: 10x + 2x = 12x 9w + 12x + -3y + -2y = 0 Combine like terms: -3y + -2y = -5y 9w + 12x + -5y = 0 Solving 9w + 12x + -5y = 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 + -5y = 0 + -12x Combine like terms: 12x + -12x = 0 9w + 0 + -5y = 0 + -12x 9w + -5y = 0 + -12x Remove the zero: 9w + -5y = -12x Add '5y' to each side of the equation. 9w + -5y + 5y = -12x + 5y Combine like terms: -5y + 5y = 0 9w + 0 = -12x + 5y 9w = -12x + 5y Divide each side by '9'. w = -1.333333333x + 0.5555555556y Simplifying w = -1.333333333x + 0.5555555556y
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