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Simplifying 5w + 3y + 4x + 9y + -12y + 3w = 0 Reorder the terms: 5w + 3w + 4x + 3y + 9y + -12y = 0 Combine like terms: 5w + 3w = 8w 8w + 4x + 3y + 9y + -12y = 0 Combine like terms: 3y + 9y = 12y 8w + 4x + 12y + -12y = 0 Combine like terms: 12y + -12y = 0 8w + 4x + 0 = 0 8w + 4x = 0 Solving 8w + 4x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4x' to each side of the equation. 8w + 4x + -4x = 0 + -4x Combine like terms: 4x + -4x = 0 8w + 0 = 0 + -4x 8w = 0 + -4x Remove the zero: 8w = -4x Divide each side by '8'. w = -0.5x Simplifying w = -0.5x
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