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Simplifying 3w + 5x + -14y + 7w + 8x + 5y = 0 Reorder the terms: 3w + 7w + 5x + 8x + -14y + 5y = 0 Combine like terms: 3w + 7w = 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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