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Simplifying 10x + -2y + 14w + -5y + -4w + 4x = 0 Reorder the terms: 14w + -4w + 10x + 4x + -2y + -5y = 0 Combine like terms: 14w + -4w = 10w 10w + 10x + 4x + -2y + -5y = 0 Combine like terms: 10x + 4x = 14x 10w + 14x + -2y + -5y = 0 Combine like terms: -2y + -5y = -7y 10w + 14x + -7y = 0 Solving 10w + 14x + -7y = 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 + -7y = 0 + -14x Combine like terms: 14x + -14x = 0 10w + 0 + -7y = 0 + -14x 10w + -7y = 0 + -14x Remove the zero: 10w + -7y = -14x Add '7y' to each side of the equation. 10w + -7y + 7y = -14x + 7y Combine like terms: -7y + 7y = 0 10w + 0 = -14x + 7y 10w = -14x + 7y Divide each side by '10'. w = -1.4x + 0.7y Simplifying w = -1.4x + 0.7y
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