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Simplifying 5w + -1y + 6w + -2y + z = 0 Reorder the terms: 5w + 6w + -1y + -2y + z = 0 Combine like terms: 5w + 6w = 11w 11w + -1y + -2y + z = 0 Combine like terms: -1y + -2y = -3y 11w + -3y + z = 0 Solving 11w + -3y + z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3y' to each side of the equation. 11w + -3y + 3y + z = 0 + 3y Combine like terms: -3y + 3y = 0 11w + 0 + z = 0 + 3y 11w + z = 0 + 3y Remove the zero: 11w + z = 3y Add '-1z' to each side of the equation. 11w + z + -1z = 3y + -1z Combine like terms: z + -1z = 0 11w + 0 = 3y + -1z 11w = 3y + -1z Divide each side by '11'. w = 0.2727272727y + -0.09090909091z Simplifying w = 0.2727272727y + -0.09090909091z
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