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Simplifying 5w + 6y + 12x + 2x + -11y + 3w = 0 Reorder the terms: 5w + 3w + 12x + 2x + 6y + -11y = 0 Combine like terms: 5w + 3w = 8w 8w + 12x + 2x + 6y + -11y = 0 Combine like terms: 12x + 2x = 14x 8w + 14x + 6y + -11y = 0 Combine like terms: 6y + -11y = -5y 8w + 14x + -5y = 0 Solving 8w + 14x + -5y = 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. 8w + 14x + -14x + -5y = 0 + -14x Combine like terms: 14x + -14x = 0 8w + 0 + -5y = 0 + -14x 8w + -5y = 0 + -14x Remove the zero: 8w + -5y = -14x Add '5y' to each side of the equation. 8w + -5y + 5y = -14x + 5y Combine like terms: -5y + 5y = 0 8w + 0 = -14x + 5y 8w = -14x + 5y Divide each side by '8'. w = -1.75x + 0.625y Simplifying w = -1.75x + 0.625y
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