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Simplifying 2w + 5x + -14y + 6w + 8x + 6y = 0 Reorder the terms: 2w + 6w + 5x + 8x + -14y + 6y = 0 Combine like terms: 2w + 6w = 8w 8w + 5x + 8x + -14y + 6y = 0 Combine like terms: 5x + 8x = 13x 8w + 13x + -14y + 6y = 0 Combine like terms: -14y + 6y = -8y 8w + 13x + -8y = 0 Solving 8w + 13x + -8y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13x' to each side of the equation. 8w + 13x + -13x + -8y = 0 + -13x Combine like terms: 13x + -13x = 0 8w + 0 + -8y = 0 + -13x 8w + -8y = 0 + -13x Remove the zero: 8w + -8y = -13x Add '8y' to each side of the equation. 8w + -8y + 8y = -13x + 8y Combine like terms: -8y + 8y = 0 8w + 0 = -13x + 8y 8w = -13x + 8y Divide each side by '8'. w = -1.625x + y Simplifying w = -1.625x + y
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