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Simplifying 2w + 4x + 12y + 7w + 10x + -4w = 0 Reorder the terms: 2w + 7w + -4w + 4x + 10x + 12y = 0 Combine like terms: 2w + 7w = 9w 9w + -4w + 4x + 10x + 12y = 0 Combine like terms: 9w + -4w = 5w 5w + 4x + 10x + 12y = 0 Combine like terms: 4x + 10x = 14x 5w + 14x + 12y = 0 Solving 5w + 14x + 12y = 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. 5w + 14x + -14x + 12y = 0 + -14x Combine like terms: 14x + -14x = 0 5w + 0 + 12y = 0 + -14x 5w + 12y = 0 + -14x Remove the zero: 5w + 12y = -14x Add '-12y' to each side of the equation. 5w + 12y + -12y = -14x + -12y Combine like terms: 12y + -12y = 0 5w + 0 = -14x + -12y 5w = -14x + -12y Divide each side by '5'. w = -2.8x + -2.4y Simplifying w = -2.8x + -2.4y
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