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Simplifying 7x + -3y + 14w + 5y + -4w + 5x = 0 Reorder the terms: 14w + -4w + 7x + 5x + -3y + 5y = 0 Combine like terms: 14w + -4w = 10w 10w + 7x + 5x + -3y + 5y = 0 Combine like terms: 7x + 5x = 12x 10w + 12x + -3y + 5y = 0 Combine like terms: -3y + 5y = 2y 10w + 12x + 2y = 0 Solving 10w + 12x + 2y = 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. 10w + 12x + -12x + 2y = 0 + -12x Combine like terms: 12x + -12x = 0 10w + 0 + 2y = 0 + -12x 10w + 2y = 0 + -12x Remove the zero: 10w + 2y = -12x Add '-2y' to each side of the equation. 10w + 2y + -2y = -12x + -2y Combine like terms: 2y + -2y = 0 10w + 0 = -12x + -2y 10w = -12x + -2y Divide each side by '10'. w = -1.2x + -0.2y Simplifying w = -1.2x + -0.2y
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