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Simplifying 2w + 2x + 13y + 6w + 10x + -8y = 0 Reorder the terms: 2w + 6w + 2x + 10x + 13y + -8y = 0 Combine like terms: 2w + 6w = 8w 8w + 2x + 10x + 13y + -8y = 0 Combine like terms: 2x + 10x = 12x 8w + 12x + 13y + -8y = 0 Combine like terms: 13y + -8y = 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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