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Simplifying 6w + 5y + 4x + 8x + -12y + 5w = 0 Reorder the terms: 6w + 5w + 4x + 8x + 5y + -12y = 0 Combine like terms: 6w + 5w = 11w 11w + 4x + 8x + 5y + -12y = 0 Combine like terms: 4x + 8x = 12x 11w + 12x + 5y + -12y = 0 Combine like terms: 5y + -12y = -7y 11w + 12x + -7y = 0 Solving 11w + 12x + -7y = 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 + -7y = 0 + -12x Combine like terms: 12x + -12x = 0 11w + 0 + -7y = 0 + -12x 11w + -7y = 0 + -12x Remove the zero: 11w + -7y = -12x Add '7y' to each side of the equation. 11w + -7y + 7y = -12x + 7y Combine like terms: -7y + 7y = 0 11w + 0 = -12x + 7y 11w = -12x + 7y Divide each side by '11'. w = -1.090909091x + 0.6363636364y Simplifying w = -1.090909091x + 0.6363636364y
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