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Simplifying 8x + -2y + 14w + -3y + -6w + 4x = 0 Reorder the terms: 14w + -6w + 8x + 4x + -2y + -3y = 0 Combine like terms: 14w + -6w = 8w 8w + 8x + 4x + -2y + -3y = 0 Combine like terms: 8x + 4x = 12x 8w + 12x + -2y + -3y = 0 Combine like terms: -2y + -3y = -5y 8w + 12x + -5y = 0 Solving 8w + 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. 8w + 12x + -12x + -5y = 0 + -12x Combine like terms: 12x + -12x = 0 8w + 0 + -5y = 0 + -12x 8w + -5y = 0 + -12x Remove the zero: 8w + -5y = -12x Add '5y' to each side of the equation. 8w + -5y + 5y = -12x + 5y Combine like terms: -5y + 5y = 0 8w + 0 = -12x + 5y 8w = -12x + 5y Divide each side by '8'. w = -1.5x + 0.625y Simplifying w = -1.5x + 0.625y
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