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Simplifying 9x + -3y + 15w + -4y + -5w + 5x = 0 Reorder the terms: 15w + -5w + 9x + 5x + -3y + -4y = 0 Combine like terms: 15w + -5w = 10w 10w + 9x + 5x + -3y + -4y = 0 Combine like terms: 9x + 5x = 14x 10w + 14x + -3y + -4y = 0 Combine like terms: -3y + -4y = -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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