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Simplifying 4w + 6x + -13y + 5w + 8x + 4y = 0 Reorder the terms: 4w + 5w + 6x + 8x + -13y + 4y = 0 Combine like terms: 4w + 5w = 9w 9w + 6x + 8x + -13y + 4y = 0 Combine like terms: 6x + 8x = 14x 9w + 14x + -13y + 4y = 0 Combine like terms: -13y + 4y = -9y 9w + 14x + -9y = 0 Solving 9w + 14x + -9y = 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. 9w + 14x + -14x + -9y = 0 + -14x Combine like terms: 14x + -14x = 0 9w + 0 + -9y = 0 + -14x 9w + -9y = 0 + -14x Remove the zero: 9w + -9y = -14x Add '9y' to each side of the equation. 9w + -9y + 9y = -14x + 9y Combine like terms: -9y + 9y = 0 9w + 0 = -14x + 9y 9w = -14x + 9y Divide each side by '9'. w = -1.555555556x + y Simplifying w = -1.555555556x + y
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