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Simplifying 6x + -3y + 10w + -2y + -2w + 8x = 0 Reorder the terms: 10w + -2w + 6x + 8x + -3y + -2y = 0 Combine like terms: 10w + -2w = 8w 8w + 6x + 8x + -3y + -2y = 0 Combine like terms: 6x + 8x = 14x 8w + 14x + -3y + -2y = 0 Combine like terms: -3y + -2y = -5y 8w + 14x + -5y = 0 Solving 8w + 14x + -5y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14x' to each side of the equation. 8w + 14x + -14x + -5y = 0 + -14x Combine like terms: 14x + -14x = 0 8w + 0 + -5y = 0 + -14x 8w + -5y = 0 + -14x Remove the zero: 8w + -5y = -14x Add '5y' to each side of the equation. 8w + -5y + 5y = -14x + 5y Combine like terms: -5y + 5y = 0 8w + 0 = -14x + 5y 8w = -14x + 5y Divide each side by '8'. w = -1.75x + 0.625y Simplifying w = -1.75x + 0.625y
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