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Simplifying 4w + 6x + -14y + 6w + 8x + 9y = 0 Reorder the terms: 4w + 6w + 6x + 8x + -14y + 9y = 0 Combine like terms: 4w + 6w = 10w 10w + 6x + 8x + -14y + 9y = 0 Combine like terms: 6x + 8x = 14x 10w + 14x + -14y + 9y = 0 Combine like terms: -14y + 9y = -5y 10w + 14x + -5y = 0 Solving 10w + 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. 10w + 14x + -14x + -5y = 0 + -14x Combine like terms: 14x + -14x = 0 10w + 0 + -5y = 0 + -14x 10w + -5y = 0 + -14x Remove the zero: 10w + -5y = -14x Add '5y' to each side of the equation. 10w + -5y + 5y = -14x + 5y Combine like terms: -5y + 5y = 0 10w + 0 = -14x + 5y 10w = -14x + 5y Divide each side by '10'. w = -1.4x + 0.5y Simplifying w = -1.4x + 0.5y
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