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Simplifying 2w + 6x + 12y + 7w + 8x + 7y = 0 Reorder the terms: 2w + 7w + 6x + 8x + 12y + 7y = 0 Combine like terms: 2w + 7w = 9w 9w + 6x + 8x + 12y + 7y = 0 Combine like terms: 6x + 8x = 14x 9w + 14x + 12y + 7y = 0 Combine like terms: 12y + 7y = 19y 9w + 14x + 19y = 0 Solving 9w + 14x + 19y = 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 + 19y = 0 + -14x Combine like terms: 14x + -14x = 0 9w + 0 + 19y = 0 + -14x 9w + 19y = 0 + -14x Remove the zero: 9w + 19y = -14x Add '-19y' to each side of the equation. 9w + 19y + -19y = -14x + -19y Combine like terms: 19y + -19y = 0 9w + 0 = -14x + -19y 9w = -14x + -19y Divide each side by '9'. w = -1.555555556x + -2.111111111y Simplifying w = -1.555555556x + -2.111111111y
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