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Simplifying 6w + 10y + 5x + 7x + -15y + 5w = 0 Reorder the terms: 6w + 5w + 5x + 7x + 10y + -15y = 0 Combine like terms: 6w + 5w = 11w 11w + 5x + 7x + 10y + -15y = 0 Combine like terms: 5x + 7x = 12x 11w + 12x + 10y + -15y = 0 Combine like terms: 10y + -15y = -5y 11w + 12x + -5y = 0 Solving 11w + 12x + -5y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12x' to each side of the equation. 11w + 12x + -12x + -5y = 0 + -12x Combine like terms: 12x + -12x = 0 11w + 0 + -5y = 0 + -12x 11w + -5y = 0 + -12x Remove the zero: 11w + -5y = -12x Add '5y' to each side of the equation. 11w + -5y + 5y = -12x + 5y Combine like terms: -5y + 5y = 0 11w + 0 = -12x + 5y 11w = -12x + 5y Divide each side by '11'. w = -1.090909091x + 0.4545454545y Simplifying w = -1.090909091x + 0.4545454545y
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