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Simplifying 6x + -3y + 11w + -5y + -2w + 8x = 0 Reorder the terms: 11w + -2w + 6x + 8x + -3y + -5y = 0 Combine like terms: 11w + -2w = 9w 9w + 6x + 8x + -3y + -5y = 0 Combine like terms: 6x + 8x = 14x 9w + 14x + -3y + -5y = 0 Combine like terms: -3y + -5y = -8y 9w + 14x + -8y = 0 Solving 9w + 14x + -8y = 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. 9w + 14x + -14x + -8y = 0 + -14x Combine like terms: 14x + -14x = 0 9w + 0 + -8y = 0 + -14x 9w + -8y = 0 + -14x Remove the zero: 9w + -8y = -14x Add '8y' to each side of the equation. 9w + -8y + 8y = -14x + 8y Combine like terms: -8y + 8y = 0 9w + 0 = -14x + 8y 9w = -14x + 8y Divide each side by '9'. w = -1.555555556x + 0.8888888889y Simplifying w = -1.555555556x + 0.8888888889y
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