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Simplifying 13x + -2y + 14w + 5y + -4w + 2x = 0 Reorder the terms: 14w + -4w + 13x + 2x + -2y + 5y = 0 Combine like terms: 14w + -4w = 10w 10w + 13x + 2x + -2y + 5y = 0 Combine like terms: 13x + 2x = 15x 10w + 15x + -2y + 5y = 0 Combine like terms: -2y + 5y = 3y 10w + 15x + 3y = 0 Solving 10w + 15x + 3y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15x' to each side of the equation. 10w + 15x + -15x + 3y = 0 + -15x Combine like terms: 15x + -15x = 0 10w + 0 + 3y = 0 + -15x 10w + 3y = 0 + -15x Remove the zero: 10w + 3y = -15x Add '-3y' to each side of the equation. 10w + 3y + -3y = -15x + -3y Combine like terms: 3y + -3y = 0 10w + 0 = -15x + -3y 10w = -15x + -3y Divide each side by '10'. w = -1.5x + -0.3y Simplifying w = -1.5x + -0.3y
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