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Simplifying 4w + 5x + 14y + 6w + 8x + -5y = 0 Reorder the terms: 4w + 6w + 5x + 8x + 14y + -5y = 0 Combine like terms: 4w + 6w = 10w 10w + 5x + 8x + 14y + -5y = 0 Combine like terms: 5x + 8x = 13x 10w + 13x + 14y + -5y = 0 Combine like terms: 14y + -5y = 9y 10w + 13x + 9y = 0 Solving 10w + 13x + 9y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13x' to each side of the equation. 10w + 13x + -13x + 9y = 0 + -13x Combine like terms: 13x + -13x = 0 10w + 0 + 9y = 0 + -13x 10w + 9y = 0 + -13x Remove the zero: 10w + 9y = -13x Add '-9y' to each side of the equation. 10w + 9y + -9y = -13x + -9y Combine like terms: 9y + -9y = 0 10w + 0 = -13x + -9y 10w = -13x + -9y Divide each side by '10'. w = -1.3x + -0.9y Simplifying w = -1.3x + -0.9y
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