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Simplifying 2w + 4x + 13y + 5w + 10x + -5y = 0 Reorder the terms: 2w + 5w + 4x + 10x + 13y + -5y = 0 Combine like terms: 2w + 5w = 7w 7w + 4x + 10x + 13y + -5y = 0 Combine like terms: 4x + 10x = 14x 7w + 14x + 13y + -5y = 0 Combine like terms: 13y + -5y = 8y 7w + 14x + 8y = 0 Solving 7w + 14x + 8y = 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 + 8y = 0 + -14x Combine like terms: 14x + -14x = 0 7w + 0 + 8y = 0 + -14x 7w + 8y = 0 + -14x Remove the zero: 7w + 8y = -14x Add '-8y' to each side of the equation. 7w + 8y + -8y = -14x + -8y Combine like terms: 8y + -8y = 0 7w + 0 = -14x + -8y 7w = -14x + -8y Divide each side by '7'. w = -2x + -1.142857143y Simplifying w = -2x + -1.142857143y
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