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Simplifying 2w + 5x + -14y + 5w + 9x + 7y = 0 Reorder the terms: 2w + 5w + 5x + 9x + -14y + 7y = 0 Combine like terms: 2w + 5w = 7w 7w + 5x + 9x + -14y + 7y = 0 Combine like terms: 5x + 9x = 14x 7w + 14x + -14y + 7y = 0 Combine like terms: -14y + 7y = -7y 7w + 14x + -7y = 0 Solving 7w + 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. 7w + 14x + -14x + -7y = 0 + -14x Combine like terms: 14x + -14x = 0 7w + 0 + -7y = 0 + -14x 7w + -7y = 0 + -14x Remove the zero: 7w + -7y = -14x Add '7y' to each side of the equation. 7w + -7y + 7y = -14x + 7y Combine like terms: -7y + 7y = 0 7w + 0 = -14x + 7y 7w = -14x + 7y Divide each side by '7'. w = -2x + y Simplifying w = -2x + y
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