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Simplifying 6x + 5y + -2w + 2x + -8y + -9w = 0 Reorder the terms: -2w + -9w + 6x + 2x + 5y + -8y = 0 Combine like terms: -2w + -9w = -11w -11w + 6x + 2x + 5y + -8y = 0 Combine like terms: 6x + 2x = 8x -11w + 8x + 5y + -8y = 0 Combine like terms: 5y + -8y = -3y -11w + 8x + -3y = 0 Solving -11w + 8x + -3y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8x' to each side of the equation. -11w + 8x + -8x + -3y = 0 + -8x Combine like terms: 8x + -8x = 0 -11w + 0 + -3y = 0 + -8x -11w + -3y = 0 + -8x Remove the zero: -11w + -3y = -8x Add '3y' to each side of the equation. -11w + -3y + 3y = -8x + 3y Combine like terms: -3y + 3y = 0 -11w + 0 = -8x + 3y -11w = -8x + 3y Divide each side by '-11'. w = 0.7272727273x + -0.2727272727y Simplifying w = 0.7272727273x + -0.2727272727y
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