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Simplifying 9x + -2y + 14w + 4y + -6w + 5x = 0 Reorder the terms: 14w + -6w + 9x + 5x + -2y + 4y = 0 Combine like terms: 14w + -6w = 8w 8w + 9x + 5x + -2y + 4y = 0 Combine like terms: 9x + 5x = 14x 8w + 14x + -2y + 4y = 0 Combine like terms: -2y + 4y = 2y 8w + 14x + 2y = 0 Solving 8w + 14x + 2y = 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 + 2y = 0 + -14x Combine like terms: 14x + -14x = 0 8w + 0 + 2y = 0 + -14x 8w + 2y = 0 + -14x Remove the zero: 8w + 2y = -14x Add '-2y' to each side of the equation. 8w + 2y + -2y = -14x + -2y Combine like terms: 2y + -2y = 0 8w + 0 = -14x + -2y 8w = -14x + -2y Divide each side by '8'. w = -1.75x + -0.25y Simplifying w = -1.75x + -0.25y
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